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Finding the Third Proportional to 216,463.50 and 316,316.25

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Solution

The third proportional to 216,463.50 and 316,316.25 is: 462,230.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,463.50 : 316,316.25 = 316,316.25 : x
  2. Step 2: Convert to fraction form
    216,463.50/316,316.25 = 316,316.25/x
  3. Step 3: Cross multiply
    216,463.50x = 316,316.25 × 316,316.25
  4. Step 4: Simplify right side
    216,463.50x = 100,055,970,014.06
  5. Step 5: Solve for x
    x = 100,055,970,014.06/216,463.50
  6. Step 6: Final answer
    x = 462,230.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.