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Finding the Third Proportional to 58,788 and 138,750

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Solution

The third proportional to 58,788 and 138,750 is: 327,474.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,788 : 138,750 = 138,750 : x
  2. Step 2: Convert to fraction form
    58,788/138,750 = 138,750/x
  3. Step 3: Cross multiply
    58,788x = 138,750 × 138,750
  4. Step 4: Simplify right side
    58,788x = 19,251,562,500
  5. Step 5: Solve for x
    x = 19,251,562,500/58,788
  6. Step 6: Final answer
    x = 327,474.36

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.