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Finding the Third Proportional to 56,386 and 121,586

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Solution

The third proportional to 56,386 and 121,586 is: 262,177.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,386 : 121,586 = 121,586 : x
  2. Step 2: Convert to fraction form
    56,386/121,586 = 121,586/x
  3. Step 3: Cross multiply
    56,386x = 121,586 × 121,586
  4. Step 4: Simplify right side
    56,386x = 14,783,155,396
  5. Step 5: Solve for x
    x = 14,783,155,396/56,386
  6. Step 6: Final answer
    x = 262,177.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.