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Finding the Third Proportional to 142,904 and 210,080

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Solution

The third proportional to 142,904 and 210,080 is: 308,833.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,904 : 210,080 = 210,080 : x
  2. Step 2: Convert to fraction form
    142,904/210,080 = 210,080/x
  3. Step 3: Cross multiply
    142,904x = 210,080 × 210,080
  4. Step 4: Simplify right side
    142,904x = 44,133,606,400
  5. Step 5: Solve for x
    x = 44,133,606,400/142,904
  6. Step 6: Final answer
    x = 308,833.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.