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Finding the Third Proportional to 819,220 and 1,271,963

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Solution

The third proportional to 819,220 and 1,271,963 is: 1,974,915.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,220 : 1,271,963 = 1,271,963 : x
  2. Step 2: Convert to fraction form
    819,220/1,271,963 = 1,271,963/x
  3. Step 3: Cross multiply
    819,220x = 1,271,963 × 1,271,963
  4. Step 4: Simplify right side
    819,220x = 1,617,889,873,369
  5. Step 5: Solve for x
    x = 1,617,889,873,369/819,220
  6. Step 6: Final answer
    x = 1,974,915.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.