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Finding the Third Proportional to 846,387 and 1,148,202

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Solution

The third proportional to 846,387 and 1,148,202 is: 1,557,641.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,387 : 1,148,202 = 1,148,202 : x
  2. Step 2: Convert to fraction form
    846,387/1,148,202 = 1,148,202/x
  3. Step 3: Cross multiply
    846,387x = 1,148,202 × 1,148,202
  4. Step 4: Simplify right side
    846,387x = 1,318,367,832,804
  5. Step 5: Solve for x
    x = 1,318,367,832,804/846,387
  6. Step 6: Final answer
    x = 1,557,641.87

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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.