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Finding the Third Proportional to 143,780 and 302,432

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Solution

The third proportional to 143,780 and 302,432 is: 636,146.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,780 : 302,432 = 302,432 : x
  2. Step 2: Convert to fraction form
    143,780/302,432 = 302,432/x
  3. Step 3: Cross multiply
    143,780x = 302,432 × 302,432
  4. Step 4: Simplify right side
    143,780x = 91,465,114,624
  5. Step 5: Solve for x
    x = 91,465,114,624/143,780
  6. Step 6: Final answer
    x = 636,146.30

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.