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Finding the Third Proportional to 147,749 and 312,853

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Solution

The third proportional to 147,749 and 312,853 is: 662,454.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,749 : 312,853 = 312,853 : x
  2. Step 2: Convert to fraction form
    147,749/312,853 = 312,853/x
  3. Step 3: Cross multiply
    147,749x = 312,853 × 312,853
  4. Step 4: Simplify right side
    147,749x = 97,876,999,609
  5. Step 5: Solve for x
    x = 97,876,999,609/147,749
  6. Step 6: Final answer
    x = 662,454.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.