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Finding the Third Proportional to 878,718 and 1,406,523

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Solution

The third proportional to 878,718 and 1,406,523 is: 2,251,355.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,718 : 1,406,523 = 1,406,523 : x
  2. Step 2: Convert to fraction form
    878,718/1,406,523 = 1,406,523/x
  3. Step 3: Cross multiply
    878,718x = 1,406,523 × 1,406,523
  4. Step 4: Simplify right side
    878,718x = 1,978,306,949,529
  5. Step 5: Solve for x
    x = 1,978,306,949,529/878,718
  6. Step 6: Final answer
    x = 2,251,355.90

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.