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Finding the Third Proportional to 431,116 and 652,637

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Solution

The third proportional to 431,116 and 652,637 is: 987,982.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,116 : 652,637 = 652,637 : x
  2. Step 2: Convert to fraction form
    431,116/652,637 = 652,637/x
  3. Step 3: Cross multiply
    431,116x = 652,637 × 652,637
  4. Step 4: Simplify right side
    431,116x = 425,935,053,769
  5. Step 5: Solve for x
    x = 425,935,053,769/431,116
  6. Step 6: Final answer
    x = 987,982.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.