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Finding the Third Proportional to 484,362 and 664,897

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Solution

The third proportional to 484,362 and 664,897 is: 912,722.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,362 : 664,897 = 664,897 : x
  2. Step 2: Convert to fraction form
    484,362/664,897 = 664,897/x
  3. Step 3: Cross multiply
    484,362x = 664,897 × 664,897
  4. Step 4: Simplify right side
    484,362x = 442,088,020,609
  5. Step 5: Solve for x
    x = 442,088,020,609/484,362
  6. Step 6: Final answer
    x = 912,722.35

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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.