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Finding the Third Proportional to 216,301 and 322,657.50

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Solution

The third proportional to 216,301 and 322,657.50 is: 481,310.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,301 : 322,657.50 = 322,657.50 : x
  2. Step 2: Convert to fraction form
    216,301/322,657.50 = 322,657.50/x
  3. Step 3: Cross multiply
    216,301x = 322,657.50 × 322,657.50
  4. Step 4: Simplify right side
    216,301x = 104,107,862,306.25
  5. Step 5: Solve for x
    x = 104,107,862,306.25/216,301
  6. Step 6: Final answer
    x = 481,310.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.