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Finding the Third Proportional to 357,702 and 571,545

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Solution

The third proportional to 357,702 and 571,545 is: 913,228.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,702 : 571,545 = 571,545 : x
  2. Step 2: Convert to fraction form
    357,702/571,545 = 571,545/x
  3. Step 3: Cross multiply
    357,702x = 571,545 × 571,545
  4. Step 4: Simplify right side
    357,702x = 326,663,687,025
  5. Step 5: Solve for x
    x = 326,663,687,025/357,702
  6. Step 6: Final answer
    x = 913,228.57

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.