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Finding the Third Proportional to 306,320 and 470,720

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Solution

The third proportional to 306,320 and 470,720 is: 723,352.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,320 : 470,720 = 470,720 : x
  2. Step 2: Convert to fraction form
    306,320/470,720 = 470,720/x
  3. Step 3: Cross multiply
    306,320x = 470,720 × 470,720
  4. Step 4: Simplify right side
    306,320x = 221,577,318,400
  5. Step 5: Solve for x
    x = 221,577,318,400/306,320
  6. Step 6: Final answer
    x = 723,352.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.