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Finding the Third Proportional to 433,220 and 669,498

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Solution

The third proportional to 433,220 and 669,498 is: 1,034,641.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,220 : 669,498 = 669,498 : x
  2. Step 2: Convert to fraction form
    433,220/669,498 = 669,498/x
  3. Step 3: Cross multiply
    433,220x = 669,498 × 669,498
  4. Step 4: Simplify right side
    433,220x = 448,227,572,004
  5. Step 5: Solve for x
    x = 448,227,572,004/433,220
  6. Step 6: Final answer
    x = 1,034,641.92

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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.