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Finding the Third Proportional to 819,420 and 1,240,632

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Solution

The third proportional to 819,420 and 1,240,632 is: 1,878,362.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,420 : 1,240,632 = 1,240,632 : x
  2. Step 2: Convert to fraction form
    819,420/1,240,632 = 1,240,632/x
  3. Step 3: Cross multiply
    819,420x = 1,240,632 × 1,240,632
  4. Step 4: Simplify right side
    819,420x = 1,539,167,759,424
  5. Step 5: Solve for x
    x = 1,539,167,759,424/819,420
  6. Step 6: Final answer
    x = 1,878,362.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.