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Finding the Third Proportional to 691,115 and 1,031,343

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Solution

The third proportional to 691,115 and 1,031,343 is: 1,539,061.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,115 : 1,031,343 = 1,031,343 : x
  2. Step 2: Convert to fraction form
    691,115/1,031,343 = 1,031,343/x
  3. Step 3: Cross multiply
    691,115x = 1,031,343 × 1,031,343
  4. Step 4: Simplify right side
    691,115x = 1,063,668,383,649
  5. Step 5: Solve for x
    x = 1,063,668,383,649/691,115
  6. Step 6: Final answer
    x = 1,539,061.35

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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.