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Finding the Third Proportional to 100,475 and 216,723.50

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Solution

The third proportional to 100,475 and 216,723.50 is: 467,470.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,475 : 216,723.50 = 216,723.50 : x
  2. Step 2: Convert to fraction form
    100,475/216,723.50 = 216,723.50/x
  3. Step 3: Cross multiply
    100,475x = 216,723.50 × 216,723.50
  4. Step 4: Simplify right side
    100,475x = 46,969,075,452.25
  5. Step 5: Solve for x
    x = 46,969,075,452.25/100,475
  6. Step 6: Final answer
    x = 467,470.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.