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Finding the Third Proportional to 821,952 and 1,289,725

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Solution

The third proportional to 821,952 and 1,289,725 is: 2,023,707.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,952 : 1,289,725 = 1,289,725 : x
  2. Step 2: Convert to fraction form
    821,952/1,289,725 = 1,289,725/x
  3. Step 3: Cross multiply
    821,952x = 1,289,725 × 1,289,725
  4. Step 4: Simplify right side
    821,952x = 1,663,390,575,625
  5. Step 5: Solve for x
    x = 1,663,390,575,625/821,952
  6. Step 6: Final answer
    x = 2,023,707.68

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.