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Finding the Third Proportional to 153,498 and 314,601

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Solution

The third proportional to 153,498 and 314,601 is: 644,788.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,498 : 314,601 = 314,601 : x
  2. Step 2: Convert to fraction form
    153,498/314,601 = 314,601/x
  3. Step 3: Cross multiply
    153,498x = 314,601 × 314,601
  4. Step 4: Simplify right side
    153,498x = 98,973,789,201
  5. Step 5: Solve for x
    x = 98,973,789,201/153,498
  6. Step 6: Final answer
    x = 644,788.79

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.