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Finding the Third Proportional to 321,590 and 472,750

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Solution

The third proportional to 321,590 and 472,750 is: 694,961.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,590 : 472,750 = 472,750 : x
  2. Step 2: Convert to fraction form
    321,590/472,750 = 472,750/x
  3. Step 3: Cross multiply
    321,590x = 472,750 × 472,750
  4. Step 4: Simplify right side
    321,590x = 223,492,562,500
  5. Step 5: Solve for x
    x = 223,492,562,500/321,590
  6. Step 6: Final answer
    x = 694,961.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.