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Finding the Third Proportional to 287,938.13 and 672,661.13

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Solution

The third proportional to 287,938.13 and 672,661.13 is: 1,571,424.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,938.13 : 672,661.13 = 672,661.13 : x
  2. Step 2: Convert to fraction form
    287,938.13/672,661.13 = 672,661.13/x
  3. Step 3: Cross multiply
    287,938.13x = 672,661.13 × 672,661.13
  4. Step 4: Simplify right side
    287,938.13x = 452,472,989,086.27
  5. Step 5: Solve for x
    x = 452,472,989,086.27/287,938.13
  6. Step 6: Final answer
    x = 1,571,424.38

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.