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Finding the Third Proportional to 113,428 and 162,366

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Solution

The third proportional to 113,428 and 162,366 is: 232,418.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,428 : 162,366 = 162,366 : x
  2. Step 2: Convert to fraction form
    113,428/162,366 = 162,366/x
  3. Step 3: Cross multiply
    113,428x = 162,366 × 162,366
  4. Step 4: Simplify right side
    113,428x = 26,362,717,956
  5. Step 5: Solve for x
    x = 26,362,717,956/113,428
  6. Step 6: Final answer
    x = 232,418.08

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.