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Finding the Third Proportional to 312,046.17 and 671,500.13

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Solution

The third proportional to 312,046.17 and 671,500.13 is: 1,445,018.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,046.17 : 671,500.13 = 671,500.13 : x
  2. Step 2: Convert to fraction form
    312,046.17/671,500.13 = 671,500.13/x
  3. Step 3: Cross multiply
    312,046.17x = 671,500.13 × 671,500.13
  4. Step 4: Simplify right side
    312,046.17x = 450,912,417,875.02
  5. Step 5: Solve for x
    x = 450,912,417,875.02/312,046.17
  6. Step 6: Final answer
    x = 1,445,018.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.