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Finding the Third Proportional to 154,335,336,643 and 334,316,429,962

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Solution

The third proportional to 154,335,336,643 and 334,316,429,962 is: 724,185,904,366.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,335,336,643 : 334,316,429,962 = 334,316,429,962 : x
  2. Step 2: Convert to fraction form
    154,335,336,643/334,316,429,962 = 334,316,429,962/x
  3. Step 3: Cross multiply
    154,335,336,643x = 334,316,429,962 × 334,316,429,962
  4. Step 4: Simplify right side
    154,335,336,643x = 111,767,475,342,536,857,354,240
  5. Step 5: Solve for x
    x = 111,767,475,342,536,857,354,240/154,335,336,643
  6. Step 6: Final answer
    x = 724,185,904,366.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.