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Finding the Third Proportional to 559,680 and 887,659

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Solution

The third proportional to 559,680 and 887,659 is: 1,407,837.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,680 : 887,659 = 887,659 : x
  2. Step 2: Convert to fraction form
    559,680/887,659 = 887,659/x
  3. Step 3: Cross multiply
    559,680x = 887,659 × 887,659
  4. Step 4: Simplify right side
    559,680x = 787,938,500,281
  5. Step 5: Solve for x
    x = 787,938,500,281/559,680
  6. Step 6: Final answer
    x = 1,407,837.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.