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Finding the Third Proportional to 142,102 and 306,974

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Solution

The third proportional to 142,102 and 306,974 is: 663,136.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,102 : 306,974 = 306,974 : x
  2. Step 2: Convert to fraction form
    142,102/306,974 = 306,974/x
  3. Step 3: Cross multiply
    142,102x = 306,974 × 306,974
  4. Step 4: Simplify right side
    142,102x = 94,233,036,676
  5. Step 5: Solve for x
    x = 94,233,036,676/142,102
  6. Step 6: Final answer
    x = 663,136.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.