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Finding the Third Proportional to 310,913 and 671,452

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Solution

The third proportional to 310,913 and 671,452 is: 1,450,076.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,913 : 671,452 = 671,452 : x
  2. Step 2: Convert to fraction form
    310,913/671,452 = 671,452/x
  3. Step 3: Cross multiply
    310,913x = 671,452 × 671,452
  4. Step 4: Simplify right side
    310,913x = 450,847,788,304
  5. Step 5: Solve for x
    x = 450,847,788,304/310,913
  6. Step 6: Final answer
    x = 1,450,076.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.