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Finding the Third Proportional to 429,564 and 660,564

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Solution

The third proportional to 429,564 and 660,564 is: 1,015,785.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,564 : 660,564 = 660,564 : x
  2. Step 2: Convert to fraction form
    429,564/660,564 = 660,564/x
  3. Step 3: Cross multiply
    429,564x = 660,564 × 660,564
  4. Step 4: Simplify right side
    429,564x = 436,344,798,096
  5. Step 5: Solve for x
    x = 436,344,798,096/429,564
  6. Step 6: Final answer
    x = 1,015,785.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.