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Finding the Third Proportional to 147,834 and 317,808

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Solution

The third proportional to 147,834 and 317,808 is: 683,211.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,834 : 317,808 = 317,808 : x
  2. Step 2: Convert to fraction form
    147,834/317,808 = 317,808/x
  3. Step 3: Cross multiply
    147,834x = 317,808 × 317,808
  4. Step 4: Simplify right side
    147,834x = 101,001,924,864
  5. Step 5: Solve for x
    x = 101,001,924,864/147,834
  6. Step 6: Final answer
    x = 683,211.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.