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Finding the Third Proportional to 641,886 and 897,354

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Solution

The third proportional to 641,886 and 897,354 is: 1,254,497.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,886 : 897,354 = 897,354 : x
  2. Step 2: Convert to fraction form
    641,886/897,354 = 897,354/x
  3. Step 3: Cross multiply
    641,886x = 897,354 × 897,354
  4. Step 4: Simplify right side
    641,886x = 805,244,201,316
  5. Step 5: Solve for x
    x = 805,244,201,316/641,886
  6. Step 6: Final answer
    x = 1,254,497.22

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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.