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Finding the Third Proportional to 484,360 and 664,894

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Solution

The third proportional to 484,360 and 664,894 is: 912,717.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,360 : 664,894 = 664,894 : x
  2. Step 2: Convert to fraction form
    484,360/664,894 = 664,894/x
  3. Step 3: Cross multiply
    484,360x = 664,894 × 664,894
  4. Step 4: Simplify right side
    484,360x = 442,084,031,236
  5. Step 5: Solve for x
    x = 442,084,031,236/484,360
  6. Step 6: Final answer
    x = 912,717.88

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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.