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Finding the Third Proportional to 78,011.44 and 121,029.19

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Solution

The third proportional to 78,011.44 and 121,029.19 is: 187,768.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,011.44 : 121,029.19 = 121,029.19 : x
  2. Step 2: Convert to fraction form
    78,011.44/121,029.19 = 121,029.19/x
  3. Step 3: Cross multiply
    78,011.44x = 121,029.19 × 121,029.19
  4. Step 4: Simplify right side
    78,011.44x = 14,648,064,226.91
  5. Step 5: Solve for x
    x = 14,648,064,226.91/78,011.44
  6. Step 6: Final answer
    x = 187,768.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.