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Finding the Third Proportional to 287,032 and 442,660

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Solution

The third proportional to 287,032 and 442,660 is: 682,669.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,032 : 442,660 = 442,660 : x
  2. Step 2: Convert to fraction form
    287,032/442,660 = 442,660/x
  3. Step 3: Cross multiply
    287,032x = 442,660 × 442,660
  4. Step 4: Simplify right side
    287,032x = 195,947,875,600
  5. Step 5: Solve for x
    x = 195,947,875,600/287,032
  6. Step 6: Final answer
    x = 682,669.09

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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.