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Finding the Third Proportional to 287,489.63 and 420,777.75

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Solution

The third proportional to 287,489.63 and 420,777.75 is: 615,861.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,489.63 : 420,777.75 = 420,777.75 : x
  2. Step 2: Convert to fraction form
    287,489.63/420,777.75 = 420,777.75/x
  3. Step 3: Cross multiply
    287,489.63x = 420,777.75 × 420,777.75
  4. Step 4: Simplify right side
    287,489.63x = 177,053,914,895.06
  5. Step 5: Solve for x
    x = 177,053,914,895.06/287,489.63
  6. Step 6: Final answer
    x = 615,861.93

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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.