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Finding the Third Proportional to 58,836 and 138,776

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Solution

The third proportional to 58,836 and 138,776 is: 327,329.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,836 : 138,776 = 138,776 : x
  2. Step 2: Convert to fraction form
    58,836/138,776 = 138,776/x
  3. Step 3: Cross multiply
    58,836x = 138,776 × 138,776
  4. Step 4: Simplify right side
    58,836x = 19,258,778,176
  5. Step 5: Solve for x
    x = 19,258,778,176/58,836
  6. Step 6: Final answer
    x = 327,329.84

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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.