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Finding the Third Proportional to 137,982 and 302,460

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Solution

The third proportional to 137,982 and 302,460 is: 662,999.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,982 : 302,460 = 302,460 : x
  2. Step 2: Convert to fraction form
    137,982/302,460 = 302,460/x
  3. Step 3: Cross multiply
    137,982x = 302,460 × 302,460
  4. Step 4: Simplify right side
    137,982x = 91,482,051,600
  5. Step 5: Solve for x
    x = 91,482,051,600/137,982
  6. Step 6: Final answer
    x = 662,999.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.