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Finding the Third Proportional to 112,428 and 239,421

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Solution

The third proportional to 112,428 and 239,421 is: 509,858.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,428 : 239,421 = 239,421 : x
  2. Step 2: Convert to fraction form
    112,428/239,421 = 239,421/x
  3. Step 3: Cross multiply
    112,428x = 239,421 × 239,421
  4. Step 4: Simplify right side
    112,428x = 57,322,415,241
  5. Step 5: Solve for x
    x = 57,322,415,241/112,428
  6. Step 6: Final answer
    x = 509,858.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.