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Finding the Third Proportional to 402,404 and 852,776

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Solution

The third proportional to 402,404 and 852,776 is: 1,807,205.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,404 : 852,776 = 852,776 : x
  2. Step 2: Convert to fraction form
    402,404/852,776 = 852,776/x
  3. Step 3: Cross multiply
    402,404x = 852,776 × 852,776
  4. Step 4: Simplify right side
    402,404x = 727,226,906,176
  5. Step 5: Solve for x
    x = 727,226,906,176/402,404
  6. Step 6: Final answer
    x = 1,807,205.96

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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.