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Finding the Third Proportional to 897,921 and 1,221,331

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Solution

The third proportional to 897,921 and 1,221,331 is: 1,661,225.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,921 : 1,221,331 = 1,221,331 : x
  2. Step 2: Convert to fraction form
    897,921/1,221,331 = 1,221,331/x
  3. Step 3: Cross multiply
    897,921x = 1,221,331 × 1,221,331
  4. Step 4: Simplify right side
    897,921x = 1,491,649,411,561
  5. Step 5: Solve for x
    x = 1,491,649,411,561/897,921
  6. Step 6: Final answer
    x = 1,661,225.67

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.