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Finding the Third Proportional to 19,428 and 42,315.75

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Solution

The third proportional to 19,428 and 42,315.75 is: 92,167.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,428 : 42,315.75 = 42,315.75 : x
  2. Step 2: Convert to fraction form
    19,428/42,315.75 = 42,315.75/x
  3. Step 3: Cross multiply
    19,428x = 42,315.75 × 42,315.75
  4. Step 4: Simplify right side
    19,428x = 1,790,622,698.06
  5. Step 5: Solve for x
    x = 1,790,622,698.06/19,428
  6. Step 6: Final answer
    x = 92,167.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.