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Finding the Third Proportional to 571,120 and 802,248

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Solution

The third proportional to 571,120 and 802,248 is: 1,126,911.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,120 : 802,248 = 802,248 : x
  2. Step 2: Convert to fraction form
    571,120/802,248 = 802,248/x
  3. Step 3: Cross multiply
    571,120x = 802,248 × 802,248
  4. Step 4: Simplify right side
    571,120x = 643,601,853,504
  5. Step 5: Solve for x
    x = 643,601,853,504/571,120
  6. Step 6: Final answer
    x = 1,126,911.78

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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.