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Finding the Third Proportional to 142,952 and 210,148

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Solution

The third proportional to 142,952 and 210,148 is: 308,930.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,952 : 210,148 = 210,148 : x
  2. Step 2: Convert to fraction form
    142,952/210,148 = 210,148/x
  3. Step 3: Cross multiply
    142,952x = 210,148 × 210,148
  4. Step 4: Simplify right side
    142,952x = 44,162,181,904
  5. Step 5: Solve for x
    x = 44,162,181,904/142,952
  6. Step 6: Final answer
    x = 308,930.14

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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.