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Finding the Third Proportional to 210,288 and 461,287

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Solution

The third proportional to 210,288 and 461,287 is: 1,011,877.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,288 : 461,287 = 461,287 : x
  2. Step 2: Convert to fraction form
    210,288/461,287 = 461,287/x
  3. Step 3: Cross multiply
    210,288x = 461,287 × 461,287
  4. Step 4: Simplify right side
    210,288x = 212,785,696,369
  5. Step 5: Solve for x
    x = 212,785,696,369/210,288
  6. Step 6: Final answer
    x = 1,011,877.50

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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.