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Finding the Third Proportional to 621,706.50 and 988,609.13

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Solution

The third proportional to 621,706.50 and 988,609.13 is: 1,572,040.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,706.50 : 988,609.13 = 988,609.13 : x
  2. Step 2: Convert to fraction form
    621,706.50/988,609.13 = 988,609.13/x
  3. Step 3: Cross multiply
    621,706.50x = 988,609.13 × 988,609.13
  4. Step 4: Simplify right side
    621,706.50x = 977,348,002,033.27
  5. Step 5: Solve for x
    x = 977,348,002,033.27/621,706.50
  6. Step 6: Final answer
    x = 1,572,040.83

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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.