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Finding the Third Proportional to 305,440 and 656,080

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Solution

The third proportional to 305,440 and 656,080 is: 1,409,248.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,440 : 656,080 = 656,080 : x
  2. Step 2: Convert to fraction form
    305,440/656,080 = 656,080/x
  3. Step 3: Cross multiply
    305,440x = 656,080 × 656,080
  4. Step 4: Simplify right side
    305,440x = 430,440,966,400
  5. Step 5: Solve for x
    x = 430,440,966,400/305,440
  6. Step 6: Final answer
    x = 1,409,248.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.