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Finding the Third Proportional to 151,020 and 211,656

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Solution

The third proportional to 151,020 and 211,656 is: 296,637.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,020 : 211,656 = 211,656 : x
  2. Step 2: Convert to fraction form
    151,020/211,656 = 211,656/x
  3. Step 3: Cross multiply
    151,020x = 211,656 × 211,656
  4. Step 4: Simplify right side
    151,020x = 44,798,262,336
  5. Step 5: Solve for x
    x = 44,798,262,336/151,020
  6. Step 6: Final answer
    x = 296,637.94

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.