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Finding the Third Proportional to 145,408 and 313,088

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Solution

The third proportional to 145,408 and 313,088 is: 674,131.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,408 : 313,088 = 313,088 : x
  2. Step 2: Convert to fraction form
    145,408/313,088 = 313,088/x
  3. Step 3: Cross multiply
    145,408x = 313,088 × 313,088
  4. Step 4: Simplify right side
    145,408x = 98,024,095,744
  5. Step 5: Solve for x
    x = 98,024,095,744/145,408
  6. Step 6: Final answer
    x = 674,131.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.