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Finding the Third Proportional to 309,867.75 and 656,941.50

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Solution

The third proportional to 309,867.75 and 656,941.50 is: 1,392,762.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,867.75 : 656,941.50 = 656,941.50 : x
  2. Step 2: Convert to fraction form
    309,867.75/656,941.50 = 656,941.50/x
  3. Step 3: Cross multiply
    309,867.75x = 656,941.50 × 656,941.50
  4. Step 4: Simplify right side
    309,867.75x = 431,572,134,422.25
  5. Step 5: Solve for x
    x = 431,572,134,422.25/309,867.75
  6. Step 6: Final answer
    x = 1,392,762.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.