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Finding the Third Proportional to 75,122 and 116,490

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Solution

The third proportional to 75,122 and 116,490 is: 180,638.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,122 : 116,490 = 116,490 : x
  2. Step 2: Convert to fraction form
    75,122/116,490 = 116,490/x
  3. Step 3: Cross multiply
    75,122x = 116,490 × 116,490
  4. Step 4: Simplify right side
    75,122x = 13,569,920,100
  5. Step 5: Solve for x
    x = 13,569,920,100/75,122
  6. Step 6: Final answer
    x = 180,638.43

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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.