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Finding the Third Proportional to 316,180.13 and 665,401.50

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Solution

The third proportional to 316,180.13 and 665,401.50 is: 1,400,338.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,180.13 : 665,401.50 = 665,401.50 : x
  2. Step 2: Convert to fraction form
    316,180.13/665,401.50 = 665,401.50/x
  3. Step 3: Cross multiply
    316,180.13x = 665,401.50 × 665,401.50
  4. Step 4: Simplify right side
    316,180.13x = 442,759,156,202.25
  5. Step 5: Solve for x
    x = 442,759,156,202.25/316,180.13
  6. Step 6: Final answer
    x = 1,400,338.36

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.