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Finding the Third Proportional to 145,242 and 313,424

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Solution

The third proportional to 145,242 and 313,424 is: 676,351.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,242 : 313,424 = 313,424 : x
  2. Step 2: Convert to fraction form
    145,242/313,424 = 313,424/x
  3. Step 3: Cross multiply
    145,242x = 313,424 × 313,424
  4. Step 4: Simplify right side
    145,242x = 98,234,603,776
  5. Step 5: Solve for x
    x = 98,234,603,776/145,242
  6. Step 6: Final answer
    x = 676,351.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.