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Finding the Third Proportional to 76,440 and 112,412

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Solution

The third proportional to 76,440 and 112,412 is: 165,312.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,440 : 112,412 = 112,412 : x
  2. Step 2: Convert to fraction form
    76,440/112,412 = 112,412/x
  3. Step 3: Cross multiply
    76,440x = 112,412 × 112,412
  4. Step 4: Simplify right side
    76,440x = 12,636,457,744
  5. Step 5: Solve for x
    x = 12,636,457,744/76,440
  6. Step 6: Final answer
    x = 165,312.11

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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.