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Finding the Third Proportional to 306,050 and 656,385

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Solution

The third proportional to 306,050 and 656,385 is: 1,407,747.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,050 : 656,385 = 656,385 : x
  2. Step 2: Convert to fraction form
    306,050/656,385 = 656,385/x
  3. Step 3: Cross multiply
    306,050x = 656,385 × 656,385
  4. Step 4: Simplify right side
    306,050x = 430,841,268,225
  5. Step 5: Solve for x
    x = 430,841,268,225/306,050
  6. Step 6: Final answer
    x = 1,407,747.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.