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Finding the Third Proportional to 145,961 and 314,431

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Solution

The third proportional to 145,961 and 314,431 is: 677,351.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,961 : 314,431 = 314,431 : x
  2. Step 2: Convert to fraction form
    145,961/314,431 = 314,431/x
  3. Step 3: Cross multiply
    145,961x = 314,431 × 314,431
  4. Step 4: Simplify right side
    145,961x = 98,866,853,761
  5. Step 5: Solve for x
    x = 98,866,853,761/145,961
  6. Step 6: Final answer
    x = 677,351.17

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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.