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Finding the Third Proportional to 621,709.31 and 988,613.16

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Solution

The third proportional to 621,709.31 and 988,613.16 is: 1,572,046.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,709.31 : 988,613.16 = 988,613.16 : x
  2. Step 2: Convert to fraction form
    621,709.31/988,613.16 = 988,613.16/x
  3. Step 3: Cross multiply
    621,709.31x = 988,613.16 × 988,613.16
  4. Step 4: Simplify right side
    621,709.31x = 977,355,972,710.59
  5. Step 5: Solve for x
    x = 977,355,972,710.59/621,709.31
  6. Step 6: Final answer
    x = 1,572,046.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.