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Finding the Third Proportional to 76,566 and 112,252.50

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Solution

The third proportional to 76,566 and 112,252.50 is: 164,572.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,566 : 112,252.50 = 112,252.50 : x
  2. Step 2: Convert to fraction form
    76,566/112,252.50 = 112,252.50/x
  3. Step 3: Cross multiply
    76,566x = 112,252.50 × 112,252.50
  4. Step 4: Simplify right side
    76,566x = 12,600,623,756.25
  5. Step 5: Solve for x
    x = 12,600,623,756.25/76,566
  6. Step 6: Final answer
    x = 164,572.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.