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Finding the Third Proportional to 56,871 and 121,113

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Solution

The third proportional to 56,871 and 121,113 is: 257,923.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,871 : 121,113 = 121,113 : x
  2. Step 2: Convert to fraction form
    56,871/121,113 = 121,113/x
  3. Step 3: Cross multiply
    56,871x = 121,113 × 121,113
  4. Step 4: Simplify right side
    56,871x = 14,668,358,769
  5. Step 5: Solve for x
    x = 14,668,358,769/56,871
  6. Step 6: Final answer
    x = 257,923.35

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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.