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Finding the Third Proportional to 216,480 and 323,840

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Solution

The third proportional to 216,480 and 323,840 is: 484,443.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,480 : 323,840 = 323,840 : x
  2. Step 2: Convert to fraction form
    216,480/323,840 = 323,840/x
  3. Step 3: Cross multiply
    216,480x = 323,840 × 323,840
  4. Step 4: Simplify right side
    216,480x = 104,872,345,600
  5. Step 5: Solve for x
    x = 104,872,345,600/216,480
  6. Step 6: Final answer
    x = 484,443.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.