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Finding the Third Proportional to 392,871 and 857,709

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Solution

The third proportional to 392,871 and 857,709 is: 1,872,535.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,871 : 857,709 = 857,709 : x
  2. Step 2: Convert to fraction form
    392,871/857,709 = 857,709/x
  3. Step 3: Cross multiply
    392,871x = 857,709 × 857,709
  4. Step 4: Simplify right side
    392,871x = 735,664,728,681
  5. Step 5: Solve for x
    x = 735,664,728,681/392,871
  6. Step 6: Final answer
    x = 1,872,535.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.