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Finding the Third Proportional to 315,263 and 442,377

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Solution

The third proportional to 315,263 and 442,377 is: 620,743.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,263 : 442,377 = 442,377 : x
  2. Step 2: Convert to fraction form
    315,263/442,377 = 442,377/x
  3. Step 3: Cross multiply
    315,263x = 442,377 × 442,377
  4. Step 4: Simplify right side
    315,263x = 195,697,410,129
  5. Step 5: Solve for x
    x = 195,697,410,129/315,263
  6. Step 6: Final answer
    x = 620,743.35

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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.