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Finding the Third Proportional to 857,798 and 1,261,737

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Solution

The third proportional to 857,798 and 1,261,737 is: 1,855,891.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,798 : 1,261,737 = 1,261,737 : x
  2. Step 2: Convert to fraction form
    857,798/1,261,737 = 1,261,737/x
  3. Step 3: Cross multiply
    857,798x = 1,261,737 × 1,261,737
  4. Step 4: Simplify right side
    857,798x = 1,591,980,257,169
  5. Step 5: Solve for x
    x = 1,591,980,257,169/857,798
  6. Step 6: Final answer
    x = 1,855,891.78

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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.