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Finding the Third Proportional to 484,358 and 664,891

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Solution

The third proportional to 484,358 and 664,891 is: 912,713.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,358 : 664,891 = 664,891 : x
  2. Step 2: Convert to fraction form
    484,358/664,891 = 664,891/x
  3. Step 3: Cross multiply
    484,358x = 664,891 × 664,891
  4. Step 4: Simplify right side
    484,358x = 442,080,041,881
  5. Step 5: Solve for x
    x = 442,080,041,881/484,358
  6. Step 6: Final answer
    x = 912,713.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.