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Finding the Third Proportional to 287,034 and 442,663

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Solution

The third proportional to 287,034 and 442,663 is: 682,673.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,034 : 442,663 = 442,663 : x
  2. Step 2: Convert to fraction form
    287,034/442,663 = 442,663/x
  3. Step 3: Cross multiply
    287,034x = 442,663 × 442,663
  4. Step 4: Simplify right side
    287,034x = 195,950,531,569
  5. Step 5: Solve for x
    x = 195,950,531,569/287,034
  6. Step 6: Final answer
    x = 682,673.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.