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Finding the Third Proportional to 287,934.75 and 672,654.38

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Solution

The third proportional to 287,934.75 and 672,654.38 is: 1,571,411.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,934.75 : 672,654.38 = 672,654.38 : x
  2. Step 2: Convert to fraction form
    287,934.75/672,654.38 = 672,654.38/x
  3. Step 3: Cross multiply
    287,934.75x = 672,654.38 × 672,654.38
  4. Step 4: Simplify right side
    287,934.75x = 452,463,908,206.64
  5. Step 5: Solve for x
    x = 452,463,908,206.64/287,934.75
  6. Step 6: Final answer
    x = 1,571,411.26

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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.