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Finding the Third Proportional to 138,537 and 302,994

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Solution

The third proportional to 138,537 and 302,994 is: 662,677.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,537 : 302,994 = 302,994 : x
  2. Step 2: Convert to fraction form
    138,537/302,994 = 302,994/x
  3. Step 3: Cross multiply
    138,537x = 302,994 × 302,994
  4. Step 4: Simplify right side
    138,537x = 91,805,364,036
  5. Step 5: Solve for x
    x = 91,805,364,036/138,537
  6. Step 6: Final answer
    x = 662,677.58

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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.