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Finding the Third Proportional to 84,820 and 124,638

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Solution

The third proportional to 84,820 and 124,638 is: 183,148.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,820 : 124,638 = 124,638 : x
  2. Step 2: Convert to fraction form
    84,820/124,638 = 124,638/x
  3. Step 3: Cross multiply
    84,820x = 124,638 × 124,638
  4. Step 4: Simplify right side
    84,820x = 15,534,631,044
  5. Step 5: Solve for x
    x = 15,534,631,044/84,820
  6. Step 6: Final answer
    x = 183,148.21

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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.