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Finding the Third Proportional to 552,420 and 811,134

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Solution

The third proportional to 552,420 and 811,134 is: 1,191,011.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,420 : 811,134 = 811,134 : x
  2. Step 2: Convert to fraction form
    552,420/811,134 = 811,134/x
  3. Step 3: Cross multiply
    552,420x = 811,134 × 811,134
  4. Step 4: Simplify right side
    552,420x = 657,938,365,956
  5. Step 5: Solve for x
    x = 657,938,365,956/552,420
  6. Step 6: Final answer
    x = 1,191,011.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.