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Finding the Third Proportional to 78,506.72 and 112,133.11

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Solution

The third proportional to 78,506.72 and 112,133.11 is: 160,162.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,506.72 : 112,133.11 = 112,133.11 : x
  2. Step 2: Convert to fraction form
    78,506.72/112,133.11 = 112,133.11/x
  3. Step 3: Cross multiply
    78,506.72x = 112,133.11 × 112,133.11
  4. Step 4: Simplify right side
    78,506.72x = 12,573,834,218.11
  5. Step 5: Solve for x
    x = 12,573,834,218.11/78,506.72
  6. Step 6: Final answer
    x = 160,162.52

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.