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Finding the Third Proportional to 878,965 and 1,320,787

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Solution

The third proportional to 878,965 and 1,320,787 is: 1,984,695.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,965 : 1,320,787 = 1,320,787 : x
  2. Step 2: Convert to fraction form
    878,965/1,320,787 = 1,320,787/x
  3. Step 3: Cross multiply
    878,965x = 1,320,787 × 1,320,787
  4. Step 4: Simplify right side
    878,965x = 1,744,478,299,369
  5. Step 5: Solve for x
    x = 1,744,478,299,369/878,965
  6. Step 6: Final answer
    x = 1,984,695.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.