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Finding the Third Proportional to 403,715 and 586,780

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Solution

The third proportional to 403,715 and 586,780 is: 852,856.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,715 : 586,780 = 586,780 : x
  2. Step 2: Convert to fraction form
    403,715/586,780 = 586,780/x
  3. Step 3: Cross multiply
    403,715x = 586,780 × 586,780
  4. Step 4: Simplify right side
    403,715x = 344,310,768,400
  5. Step 5: Solve for x
    x = 344,310,768,400/403,715
  6. Step 6: Final answer
    x = 852,856.02

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.