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Finding the Third Proportional to 310,531 and 665,328

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Solution

The third proportional to 310,531 and 665,328 is: 1,425,498.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,531 : 665,328 = 665,328 : x
  2. Step 2: Convert to fraction form
    310,531/665,328 = 665,328/x
  3. Step 3: Cross multiply
    310,531x = 665,328 × 665,328
  4. Step 4: Simplify right side
    310,531x = 442,661,347,584
  5. Step 5: Solve for x
    x = 442,661,347,584/310,531
  6. Step 6: Final answer
    x = 1,425,498.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.