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Finding the Third Proportional to 231,306 and 357,463

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Solution

The third proportional to 231,306 and 357,463 is: 552,427.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,306 : 357,463 = 357,463 : x
  2. Step 2: Convert to fraction form
    231,306/357,463 = 357,463/x
  3. Step 3: Cross multiply
    231,306x = 357,463 × 357,463
  4. Step 4: Simplify right side
    231,306x = 127,779,796,369
  5. Step 5: Solve for x
    x = 127,779,796,369/231,306
  6. Step 6: Final answer
    x = 552,427.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.