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Finding the Third Proportional to 551,062 and 830,643

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Solution

The third proportional to 551,062 and 830,643 is: 1,252,069.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,062 : 830,643 = 830,643 : x
  2. Step 2: Convert to fraction form
    551,062/830,643 = 830,643/x
  3. Step 3: Cross multiply
    551,062x = 830,643 × 830,643
  4. Step 4: Simplify right side
    551,062x = 689,967,793,449
  5. Step 5: Solve for x
    x = 689,967,793,449/551,062
  6. Step 6: Final answer
    x = 1,252,069.27

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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.