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Finding the Third Proportional to 148,381.75 and 314,420

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Solution

The third proportional to 148,381.75 and 314,420 is: 666,254.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,381.75 : 314,420 = 314,420 : x
  2. Step 2: Convert to fraction form
    148,381.75/314,420 = 314,420/x
  3. Step 3: Cross multiply
    148,381.75x = 314,420 × 314,420
  4. Step 4: Simplify right side
    148,381.75x = 98,859,936,400
  5. Step 5: Solve for x
    x = 98,859,936,400/148,381.75
  6. Step 6: Final answer
    x = 666,254.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.