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Finding the Third Proportional to 488,215 and 739,207.50

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Solution

The third proportional to 488,215 and 739,207.50 is: 1,119,235.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,215 : 739,207.50 = 739,207.50 : x
  2. Step 2: Convert to fraction form
    488,215/739,207.50 = 739,207.50/x
  3. Step 3: Cross multiply
    488,215x = 739,207.50 × 739,207.50
  4. Step 4: Simplify right side
    488,215x = 546,427,728,056.25
  5. Step 5: Solve for x
    x = 546,427,728,056.25/488,215
  6. Step 6: Final answer
    x = 1,119,235.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.