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Finding the Third Proportional to 135,712 and 288,032

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Solution

The third proportional to 135,712 and 288,032 is: 611,312.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,712 : 288,032 = 288,032 : x
  2. Step 2: Convert to fraction form
    135,712/288,032 = 288,032/x
  3. Step 3: Cross multiply
    135,712x = 288,032 × 288,032
  4. Step 4: Simplify right side
    135,712x = 82,962,433,024
  5. Step 5: Solve for x
    x = 82,962,433,024/135,712
  6. Step 6: Final answer
    x = 611,312.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.