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Finding the Third Proportional to 846,396 and 1,148,214

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Solution

The third proportional to 846,396 and 1,148,214 is: 1,557,657.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,396 : 1,148,214 = 1,148,214 : x
  2. Step 2: Convert to fraction form
    846,396/1,148,214 = 1,148,214/x
  3. Step 3: Cross multiply
    846,396x = 1,148,214 × 1,148,214
  4. Step 4: Simplify right side
    846,396x = 1,318,395,389,796
  5. Step 5: Solve for x
    x = 1,318,395,389,796/846,396
  6. Step 6: Final answer
    x = 1,557,657.87

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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.