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Finding the Third Proportional to 137,076 and 199,776

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Solution

The third proportional to 137,076 and 199,776 is: 291,155.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,076 : 199,776 = 199,776 : x
  2. Step 2: Convert to fraction form
    137,076/199,776 = 199,776/x
  3. Step 3: Cross multiply
    137,076x = 199,776 × 199,776
  4. Step 4: Simplify right side
    137,076x = 39,910,450,176
  5. Step 5: Solve for x
    x = 39,910,450,176/137,076
  6. Step 6: Final answer
    x = 291,155.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.