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Finding the Third Proportional to 315,101 and 691,429

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Solution

The third proportional to 315,101 and 691,429 is: 1,517,208.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,101 : 691,429 = 691,429 : x
  2. Step 2: Convert to fraction form
    315,101/691,429 = 691,429/x
  3. Step 3: Cross multiply
    315,101x = 691,429 × 691,429
  4. Step 4: Simplify right side
    315,101x = 478,074,062,041
  5. Step 5: Solve for x
    x = 478,074,062,041/315,101
  6. Step 6: Final answer
    x = 1,517,208.96

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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.