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Finding the Third Proportional to 357,032 and 515,892

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Solution

The third proportional to 357,032 and 515,892 is: 745,436.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,032 : 515,892 = 515,892 : x
  2. Step 2: Convert to fraction form
    357,032/515,892 = 515,892/x
  3. Step 3: Cross multiply
    357,032x = 515,892 × 515,892
  4. Step 4: Simplify right side
    357,032x = 266,144,555,664
  5. Step 5: Solve for x
    x = 266,144,555,664/357,032
  6. Step 6: Final answer
    x = 745,436.14

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.