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Finding the Third Proportional to 315,084 and 691,399

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Solution

The third proportional to 315,084 and 691,399 is: 1,517,159.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,084 : 691,399 = 691,399 : x
  2. Step 2: Convert to fraction form
    315,084/691,399 = 691,399/x
  3. Step 3: Cross multiply
    315,084x = 691,399 × 691,399
  4. Step 4: Simplify right side
    315,084x = 478,032,577,201
  5. Step 5: Solve for x
    x = 478,032,577,201/315,084
  6. Step 6: Final answer
    x = 1,517,159.16

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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.