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Finding the Third Proportional to 124,856 and 273,776

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Solution

The third proportional to 124,856 and 273,776 is: 600,317.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,856 : 273,776 = 273,776 : x
  2. Step 2: Convert to fraction form
    124,856/273,776 = 273,776/x
  3. Step 3: Cross multiply
    124,856x = 273,776 × 273,776
  4. Step 4: Simplify right side
    124,856x = 74,953,298,176
  5. Step 5: Solve for x
    x = 74,953,298,176/124,856
  6. Step 6: Final answer
    x = 600,317.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.