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Finding the Third Proportional to 143,664 and 314,080

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Solution

The third proportional to 143,664 and 314,080 is: 686,645.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,664 : 314,080 = 314,080 : x
  2. Step 2: Convert to fraction form
    143,664/314,080 = 314,080/x
  3. Step 3: Cross multiply
    143,664x = 314,080 × 314,080
  4. Step 4: Simplify right side
    143,664x = 98,646,246,400
  5. Step 5: Solve for x
    x = 98,646,246,400/143,664
  6. Step 6: Final answer
    x = 686,645.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.