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Finding the Third Proportional to 75,690 and 114,587

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Solution

The third proportional to 75,690 and 114,587 is: 173,473.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,690 : 114,587 = 114,587 : x
  2. Step 2: Convert to fraction form
    75,690/114,587 = 114,587/x
  3. Step 3: Cross multiply
    75,690x = 114,587 × 114,587
  4. Step 4: Simplify right side
    75,690x = 13,130,180,569
  5. Step 5: Solve for x
    x = 13,130,180,569/75,690
  6. Step 6: Final answer
    x = 173,473.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.