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Finding the Third Proportional to 631,239 and 913,689

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Solution

The third proportional to 631,239 and 913,689 is: 1,322,522.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,239 : 913,689 = 913,689 : x
  2. Step 2: Convert to fraction form
    631,239/913,689 = 913,689/x
  3. Step 3: Cross multiply
    631,239x = 913,689 × 913,689
  4. Step 4: Simplify right side
    631,239x = 834,827,588,721
  5. Step 5: Solve for x
    x = 834,827,588,721/631,239
  6. Step 6: Final answer
    x = 1,322,522.20

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.