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Finding the Third Proportional to 288,259.50 and 421,281

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Solution

The third proportional to 288,259.50 and 421,281 is: 615,687.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,259.50 : 421,281 = 421,281 : x
  2. Step 2: Convert to fraction form
    288,259.50/421,281 = 421,281/x
  3. Step 3: Cross multiply
    288,259.50x = 421,281 × 421,281
  4. Step 4: Simplify right side
    288,259.50x = 177,477,680,961
  5. Step 5: Solve for x
    x = 177,477,680,961/288,259.50
  6. Step 6: Final answer
    x = 615,687.19

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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.