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Finding the Third Proportional to 242,566 and 521,614

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Solution

The third proportional to 242,566 and 521,614 is: 1,121,678.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,566 : 521,614 = 521,614 : x
  2. Step 2: Convert to fraction form
    242,566/521,614 = 521,614/x
  3. Step 3: Cross multiply
    242,566x = 521,614 × 521,614
  4. Step 4: Simplify right side
    242,566x = 272,081,164,996
  5. Step 5: Solve for x
    x = 272,081,164,996/242,566
  6. Step 6: Final answer
    x = 1,121,678.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.