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Finding the Third Proportional to 726,365 and 857,586

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Solution

The third proportional to 726,365 and 857,586 is: 1,012,512.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,365 : 857,586 = 857,586 : x
  2. Step 2: Convert to fraction form
    726,365/857,586 = 857,586/x
  3. Step 3: Cross multiply
    726,365x = 857,586 × 857,586
  4. Step 4: Simplify right side
    726,365x = 735,453,747,396
  5. Step 5: Solve for x
    x = 735,453,747,396/726,365
  6. Step 6: Final answer
    x = 1,012,512.65

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.