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Finding the Third Proportional to 309,893 and 478,853

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Solution

The third proportional to 309,893 and 478,853 is: 739,933.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,893 : 478,853 = 478,853 : x
  2. Step 2: Convert to fraction form
    309,893/478,853 = 478,853/x
  3. Step 3: Cross multiply
    309,893x = 478,853 × 478,853
  4. Step 4: Simplify right side
    309,893x = 229,300,195,609
  5. Step 5: Solve for x
    x = 229,300,195,609/309,893
  6. Step 6: Final answer
    x = 739,933.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.