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Finding the Third Proportional to 147,392 and 315,813

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Solution

The third proportional to 147,392 and 315,813 is: 676,684.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,392 : 315,813 = 315,813 : x
  2. Step 2: Convert to fraction form
    147,392/315,813 = 315,813/x
  3. Step 3: Cross multiply
    147,392x = 315,813 × 315,813
  4. Step 4: Simplify right side
    147,392x = 99,737,850,969
  5. Step 5: Solve for x
    x = 99,737,850,969/147,392
  6. Step 6: Final answer
    x = 676,684.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.