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Finding the Third Proportional to 664,688 and 1,031,169

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Solution

The third proportional to 664,688 and 1,031,169 is: 1,599,712.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,688 : 1,031,169 = 1,031,169 : x
  2. Step 2: Convert to fraction form
    664,688/1,031,169 = 1,031,169/x
  3. Step 3: Cross multiply
    664,688x = 1,031,169 × 1,031,169
  4. Step 4: Simplify right side
    664,688x = 1,063,309,506,561
  5. Step 5: Solve for x
    x = 1,063,309,506,561/664,688
  6. Step 6: Final answer
    x = 1,599,712.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.