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Finding the Third Proportional to 305,929 and 656,143

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Solution

The third proportional to 305,929 and 656,143 is: 1,407,266.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,929 : 656,143 = 656,143 : x
  2. Step 2: Convert to fraction form
    305,929/656,143 = 656,143/x
  3. Step 3: Cross multiply
    305,929x = 656,143 × 656,143
  4. Step 4: Simplify right side
    305,929x = 430,523,636,449
  5. Step 5: Solve for x
    x = 430,523,636,449/305,929
  6. Step 6: Final answer
    x = 1,407,266.51

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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.