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Finding the Third Proportional to 73,386 and 121,864.50

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Solution

The third proportional to 73,386 and 121,864.50 is: 202,367.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,386 : 121,864.50 = 121,864.50 : x
  2. Step 2: Convert to fraction form
    73,386/121,864.50 = 121,864.50/x
  3. Step 3: Cross multiply
    73,386x = 121,864.50 × 121,864.50
  4. Step 4: Simplify right side
    73,386x = 14,850,956,360.25
  5. Step 5: Solve for x
    x = 14,850,956,360.25/73,386
  6. Step 6: Final answer
    x = 202,367.70

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.