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Finding the Third Proportional to 571,588 and 840,858

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Solution

The third proportional to 571,588 and 840,858 is: 1,236,978.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,588 : 840,858 = 840,858 : x
  2. Step 2: Convert to fraction form
    571,588/840,858 = 840,858/x
  3. Step 3: Cross multiply
    571,588x = 840,858 × 840,858
  4. Step 4: Simplify right side
    571,588x = 707,042,176,164
  5. Step 5: Solve for x
    x = 707,042,176,164/571,588
  6. Step 6: Final answer
    x = 1,236,978.69

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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.