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Finding the Third Proportional to 421,587 and 913,716

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Solution

The third proportional to 421,587 and 913,716 is: 1,980,319.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,587 : 913,716 = 913,716 : x
  2. Step 2: Convert to fraction form
    421,587/913,716 = 913,716/x
  3. Step 3: Cross multiply
    421,587x = 913,716 × 913,716
  4. Step 4: Simplify right side
    421,587x = 834,876,928,656
  5. Step 5: Solve for x
    x = 834,876,928,656/421,587
  6. Step 6: Final answer
    x = 1,980,319.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.