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Finding the Third Proportional to 142,329 and 306,650

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Solution

The third proportional to 142,329 and 306,650 is: 660,682.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,329 : 306,650 = 306,650 : x
  2. Step 2: Convert to fraction form
    142,329/306,650 = 306,650/x
  3. Step 3: Cross multiply
    142,329x = 306,650 × 306,650
  4. Step 4: Simplify right side
    142,329x = 94,034,222,500
  5. Step 5: Solve for x
    x = 94,034,222,500/142,329
  6. Step 6: Final answer
    x = 660,682.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.