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Finding the Third Proportional to 10,783.13 and 14,888.81

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Solution

The third proportional to 10,783.13 and 14,888.81 is: 20,557.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783.13 : 14,888.81 = 14,888.81 : x
  2. Step 2: Convert to fraction form
    10,783.13/14,888.81 = 14,888.81/x
  3. Step 3: Cross multiply
    10,783.13x = 14,888.81 × 14,888.81
  4. Step 4: Simplify right side
    10,783.13x = 221,676,737.66
  5. Step 5: Solve for x
    x = 221,676,737.66/10,783.13
  6. Step 6: Final answer
    x = 20,557.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.