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Finding the Third Proportional to 56,358 and 121,437

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Solution

The third proportional to 56,358 and 121,437 is: 261,665.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,358 : 121,437 = 121,437 : x
  2. Step 2: Convert to fraction form
    56,358/121,437 = 121,437/x
  3. Step 3: Cross multiply
    56,358x = 121,437 × 121,437
  4. Step 4: Simplify right side
    56,358x = 14,746,944,969
  5. Step 5: Solve for x
    x = 14,746,944,969/56,358
  6. Step 6: Final answer
    x = 261,665.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.