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Finding the Third Proportional to 312,703 and 609,853

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Solution

The third proportional to 312,703 and 609,853 is: 1,189,373.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,703 : 609,853 = 609,853 : x
  2. Step 2: Convert to fraction form
    312,703/609,853 = 609,853/x
  3. Step 3: Cross multiply
    312,703x = 609,853 × 609,853
  4. Step 4: Simplify right side
    312,703x = 371,920,681,609
  5. Step 5: Solve for x
    x = 371,920,681,609/312,703
  6. Step 6: Final answer
    x = 1,189,373.56

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.