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Finding the Third Proportional to 406,521 and 612,780

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Solution

The third proportional to 406,521 and 612,780 is: 923,689.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,521 : 612,780 = 612,780 : x
  2. Step 2: Convert to fraction form
    406,521/612,780 = 612,780/x
  3. Step 3: Cross multiply
    406,521x = 612,780 × 612,780
  4. Step 4: Simplify right side
    406,521x = 375,499,328,400
  5. Step 5: Solve for x
    x = 375,499,328,400/406,521
  6. Step 6: Final answer
    x = 923,689.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.