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Finding the Third Proportional to 305,927 and 656,139

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Solution

The third proportional to 305,927 and 656,139 is: 1,407,258.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,927 : 656,139 = 656,139 : x
  2. Step 2: Convert to fraction form
    305,927/656,139 = 656,139/x
  3. Step 3: Cross multiply
    305,927x = 656,139 × 656,139
  4. Step 4: Simplify right side
    305,927x = 430,518,387,321
  5. Step 5: Solve for x
    x = 430,518,387,321/305,927
  6. Step 6: Final answer
    x = 1,407,258.55

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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.