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Finding the Third Proportional to 571,122 and 802,251

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Solution

The third proportional to 571,122 and 802,251 is: 1,126,916.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,122 : 802,251 = 802,251 : x
  2. Step 2: Convert to fraction form
    571,122/802,251 = 802,251/x
  3. Step 3: Cross multiply
    571,122x = 802,251 × 802,251
  4. Step 4: Simplify right side
    571,122x = 643,606,667,001
  5. Step 5: Solve for x
    x = 643,606,667,001/571,122
  6. Step 6: Final answer
    x = 1,126,916.26

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.