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Finding the Third Proportional to 857,712 and 1,261,620

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Solution

The third proportional to 857,712 and 1,261,620 is: 1,855,733.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,712 : 1,261,620 = 1,261,620 : x
  2. Step 2: Convert to fraction form
    857,712/1,261,620 = 1,261,620/x
  3. Step 3: Cross multiply
    857,712x = 1,261,620 × 1,261,620
  4. Step 4: Simplify right side
    857,712x = 1,591,685,024,400
  5. Step 5: Solve for x
    x = 1,591,685,024,400/857,712
  6. Step 6: Final answer
    x = 1,855,733.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.