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Finding the Third Proportional to 369,712 and 557,192

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Solution

The third proportional to 369,712 and 557,192 is: 839,742.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,712 : 557,192 = 557,192 : x
  2. Step 2: Convert to fraction form
    369,712/557,192 = 557,192/x
  3. Step 3: Cross multiply
    369,712x = 557,192 × 557,192
  4. Step 4: Simplify right side
    369,712x = 310,462,924,864
  5. Step 5: Solve for x
    x = 310,462,924,864/369,712
  6. Step 6: Final answer
    x = 839,742.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.