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Finding the Third Proportional to 153,630 and 317,920

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Solution

The third proportional to 153,630 and 317,920 is: 657,899.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,630 : 317,920 = 317,920 : x
  2. Step 2: Convert to fraction form
    153,630/317,920 = 317,920/x
  3. Step 3: Cross multiply
    153,630x = 317,920 × 317,920
  4. Step 4: Simplify right side
    153,630x = 101,073,126,400
  5. Step 5: Solve for x
    x = 101,073,126,400/153,630
  6. Step 6: Final answer
    x = 657,899.67

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.