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Finding the Third Proportional to 51,829,643 and 119,988,891.50

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Solution

The third proportional to 51,829,643 and 119,988,891.50 is: 277,781,849.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,829,643 : 119,988,891.50 = 119,988,891.50 : x
  2. Step 2: Convert to fraction form
    51,829,643/119,988,891.50 = 119,988,891.50/x
  3. Step 3: Cross multiply
    51,829,643x = 119,988,891.50 × 119,988,891.50
  4. Step 4: Simplify right side
    51,829,643x = 14,397,334,083,398,772
  5. Step 5: Solve for x
    x = 14,397,334,083,398,772/51,829,643
  6. Step 6: Final answer
    x = 277,781,849.34

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.