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Finding the Third Proportional to 571,123.13 and 758,113.13

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Solution

The third proportional to 571,123.13 and 758,113.13 is: 1,006,325.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,123.13 : 758,113.13 = 758,113.13 : x
  2. Step 2: Convert to fraction form
    571,123.13/758,113.13 = 758,113.13/x
  3. Step 3: Cross multiply
    571,123.13x = 758,113.13 × 758,113.13
  4. Step 4: Simplify right side
    571,123.13x = 574,735,510,297.27
  5. Step 5: Solve for x
    x = 574,735,510,297.27/571,123.13
  6. Step 6: Final answer
    x = 1,006,325.06

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.