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Finding the Third Proportional to 315,083 and 691,397

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Solution

The third proportional to 315,083 and 691,397 is: 1,517,155.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,083 : 691,397 = 691,397 : x
  2. Step 2: Convert to fraction form
    315,083/691,397 = 691,397/x
  3. Step 3: Cross multiply
    315,083x = 691,397 × 691,397
  4. Step 4: Simplify right side
    315,083x = 478,029,811,609
  5. Step 5: Solve for x
    x = 478,029,811,609/315,083
  6. Step 6: Final answer
    x = 1,517,155.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.