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Finding the Third Proportional to 145,260.84 and 316,243.62

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Solution

The third proportional to 145,260.84 and 316,243.62 is: 688,485.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,260.84 : 316,243.62 = 316,243.62 : x
  2. Step 2: Convert to fraction form
    145,260.84/316,243.62 = 316,243.62/x
  3. Step 3: Cross multiply
    145,260.84x = 316,243.62 × 316,243.62
  4. Step 4: Simplify right side
    145,260.84x = 100,010,025,411.83
  5. Step 5: Solve for x
    x = 100,010,025,411.83/145,260.84
  6. Step 6: Final answer
    x = 688,485.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.