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Finding the Third Proportional to 521,700 and 829,242

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Solution

The third proportional to 521,700 and 829,242 is: 1,318,079.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,700 : 829,242 = 829,242 : x
  2. Step 2: Convert to fraction form
    521,700/829,242 = 829,242/x
  3. Step 3: Cross multiply
    521,700x = 829,242 × 829,242
  4. Step 4: Simplify right side
    521,700x = 687,642,294,564
  5. Step 5: Solve for x
    x = 687,642,294,564/521,700
  6. Step 6: Final answer
    x = 1,318,079.92

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.