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Finding the Third Proportional to 10,875 and 22,688.25

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Solution

The third proportional to 10,875 and 22,688.25 is: 47,333.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,875 : 22,688.25 = 22,688.25 : x
  2. Step 2: Convert to fraction form
    10,875/22,688.25 = 22,688.25/x
  3. Step 3: Cross multiply
    10,875x = 22,688.25 × 22,688.25
  4. Step 4: Simplify right side
    10,875x = 514,756,688.06
  5. Step 5: Solve for x
    x = 514,756,688.06/10,875
  6. Step 6: Final answer
    x = 47,333.95

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.