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Finding the Third Proportional to 295,220 and 458,378

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Solution

The third proportional to 295,220 and 458,378 is: 711,707.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,220 : 458,378 = 458,378 : x
  2. Step 2: Convert to fraction form
    295,220/458,378 = 458,378/x
  3. Step 3: Cross multiply
    295,220x = 458,378 × 458,378
  4. Step 4: Simplify right side
    295,220x = 210,110,390,884
  5. Step 5: Solve for x
    x = 210,110,390,884/295,220
  6. Step 6: Final answer
    x = 711,707.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.