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Finding the Third Proportional to 843,090 and 1,285,643

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Solution

The third proportional to 843,090 and 1,285,643 is: 1,960,499.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,090 : 1,285,643 = 1,285,643 : x
  2. Step 2: Convert to fraction form
    843,090/1,285,643 = 1,285,643/x
  3. Step 3: Cross multiply
    843,090x = 1,285,643 × 1,285,643
  4. Step 4: Simplify right side
    843,090x = 1,652,877,923,449
  5. Step 5: Solve for x
    x = 1,652,877,923,449/843,090
  6. Step 6: Final answer
    x = 1,960,499.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.