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Finding the Third Proportional to 639,722,238.75 and 982,862,516.25

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Solution

The third proportional to 639,722,238.75 and 982,862,516.25 is: 1,510,059,627.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,722,238.75 : 982,862,516.25 = 982,862,516.25 : x
  2. Step 2: Convert to fraction form
    639,722,238.75/982,862,516.25 = 982,862,516.25/x
  3. Step 3: Cross multiply
    639,722,238.75x = 982,862,516.25 × 982,862,516.25
  4. Step 4: Simplify right side
    639,722,238.75x = 966,018,725,849,281,536
  5. Step 5: Solve for x
    x = 966,018,725,849,281,536/639,722,238.75
  6. Step 6: Final answer
    x = 1,510,059,627.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.