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Finding the Third Proportional to 691,125 and 1,031,358

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Solution

The third proportional to 691,125 and 1,031,358 is: 1,539,083.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,125 : 1,031,358 = 1,031,358 : x
  2. Step 2: Convert to fraction form
    691,125/1,031,358 = 1,031,358/x
  3. Step 3: Cross multiply
    691,125x = 1,031,358 × 1,031,358
  4. Step 4: Simplify right side
    691,125x = 1,063,699,324,164
  5. Step 5: Solve for x
    x = 1,063,699,324,164/691,125
  6. Step 6: Final answer
    x = 1,539,083.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.