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Finding the Third Proportional to 485,948 and 719,357

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Solution

The third proportional to 485,948 and 719,357 is: 1,064,876.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,948 : 719,357 = 719,357 : x
  2. Step 2: Convert to fraction form
    485,948/719,357 = 719,357/x
  3. Step 3: Cross multiply
    485,948x = 719,357 × 719,357
  4. Step 4: Simplify right side
    485,948x = 517,474,493,449
  5. Step 5: Solve for x
    x = 517,474,493,449/485,948
  6. Step 6: Final answer
    x = 1,064,876.27

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.