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Finding the Third Proportional to 128,829 and 274,776

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Solution

The third proportional to 128,829 and 274,776 is: 586,062.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,829 : 274,776 = 274,776 : x
  2. Step 2: Convert to fraction form
    128,829/274,776 = 274,776/x
  3. Step 3: Cross multiply
    128,829x = 274,776 × 274,776
  4. Step 4: Simplify right side
    128,829x = 75,501,850,176
  5. Step 5: Solve for x
    x = 75,501,850,176/128,829
  6. Step 6: Final answer
    x = 586,062.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.