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Finding the Third Proportional to 151,566 and 212,346

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Solution

The third proportional to 151,566 and 212,346 is: 297,499.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,566 : 212,346 = 212,346 : x
  2. Step 2: Convert to fraction form
    151,566/212,346 = 212,346/x
  3. Step 3: Cross multiply
    151,566x = 212,346 × 212,346
  4. Step 4: Simplify right side
    151,566x = 45,090,823,716
  5. Step 5: Solve for x
    x = 45,090,823,716/151,566
  6. Step 6: Final answer
    x = 297,499.60

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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.