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Finding the Third Proportional to 691,408 and 1,129,000

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Solution

The third proportional to 691,408 and 1,129,000 is: 1,843,543.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,408 : 1,129,000 = 1,129,000 : x
  2. Step 2: Convert to fraction form
    691,408/1,129,000 = 1,129,000/x
  3. Step 3: Cross multiply
    691,408x = 1,129,000 × 1,129,000
  4. Step 4: Simplify right side
    691,408x = 1,274,641,000,000
  5. Step 5: Solve for x
    x = 1,274,641,000,000/691,408
  6. Step 6: Final answer
    x = 1,843,543.90

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.