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Finding the Third Proportional to 372,043 and 807,509

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Solution

The third proportional to 372,043 and 807,509 is: 1,752,675.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,043 : 807,509 = 807,509 : x
  2. Step 2: Convert to fraction form
    372,043/807,509 = 807,509/x
  3. Step 3: Cross multiply
    372,043x = 807,509 × 807,509
  4. Step 4: Simplify right side
    372,043x = 652,070,785,081
  5. Step 5: Solve for x
    x = 652,070,785,081/372,043
  6. Step 6: Final answer
    x = 1,752,675.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.