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Finding the Third Proportional to 316,374 and 488,529

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Solution

The third proportional to 316,374 and 488,529 is: 754,362.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,374 : 488,529 = 488,529 : x
  2. Step 2: Convert to fraction form
    316,374/488,529 = 488,529/x
  3. Step 3: Cross multiply
    316,374x = 488,529 × 488,529
  4. Step 4: Simplify right side
    316,374x = 238,660,583,841
  5. Step 5: Solve for x
    x = 238,660,583,841/316,374
  6. Step 6: Final answer
    x = 754,362.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.