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Finding the Third Proportional to 142,790 and 207,492

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Solution

The third proportional to 142,790 and 207,492 is: 301,512.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,790 : 207,492 = 207,492 : x
  2. Step 2: Convert to fraction form
    142,790/207,492 = 207,492/x
  3. Step 3: Cross multiply
    142,790x = 207,492 × 207,492
  4. Step 4: Simplify right side
    142,790x = 43,052,930,064
  5. Step 5: Solve for x
    x = 43,052,930,064/142,790
  6. Step 6: Final answer
    x = 301,512.22

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.