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Finding the Third Proportional to 317,678 and 493,943

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Solution

The third proportional to 317,678 and 493,943 is: 768,009.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,678 : 493,943 = 493,943 : x
  2. Step 2: Convert to fraction form
    317,678/493,943 = 493,943/x
  3. Step 3: Cross multiply
    317,678x = 493,943 × 493,943
  4. Step 4: Simplify right side
    317,678x = 243,979,687,249
  5. Step 5: Solve for x
    x = 243,979,687,249/317,678
  6. Step 6: Final answer
    x = 768,009.39

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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.