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Finding the Third Proportional to 811,461 and 1,263,120

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Solution

The third proportional to 811,461 and 1,263,120 is: 1,966,172.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,461 : 1,263,120 = 1,263,120 : x
  2. Step 2: Convert to fraction form
    811,461/1,263,120 = 1,263,120/x
  3. Step 3: Cross multiply
    811,461x = 1,263,120 × 1,263,120
  4. Step 4: Simplify right side
    811,461x = 1,595,472,134,400
  5. Step 5: Solve for x
    x = 1,595,472,134,400/811,461
  6. Step 6: Final answer
    x = 1,966,172.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.