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Finding the Third Proportional to 315,480 and 442,671

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Solution

The third proportional to 315,480 and 442,671 is: 621,141.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,480 : 442,671 = 442,671 : x
  2. Step 2: Convert to fraction form
    315,480/442,671 = 442,671/x
  3. Step 3: Cross multiply
    315,480x = 442,671 × 442,671
  4. Step 4: Simplify right side
    315,480x = 195,957,614,241
  5. Step 5: Solve for x
    x = 195,957,614,241/315,480
  6. Step 6: Final answer
    x = 621,141.16

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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.