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Finding the Third Proportional to 429,727 and 910,678

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Solution

The third proportional to 429,727 and 910,678 is: 1,929,909.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,727 : 910,678 = 910,678 : x
  2. Step 2: Convert to fraction form
    429,727/910,678 = 910,678/x
  3. Step 3: Cross multiply
    429,727x = 910,678 × 910,678
  4. Step 4: Simplify right side
    429,727x = 829,334,419,684
  5. Step 5: Solve for x
    x = 829,334,419,684/429,727
  6. Step 6: Final answer
    x = 1,929,909.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.