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Finding the Third Proportional to 10,302.19 and 22,191.47

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Solution

The third proportional to 10,302.19 and 22,191.47 is: 47,801.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,302.19 : 22,191.47 = 22,191.47 : x
  2. Step 2: Convert to fraction form
    10,302.19/22,191.47 = 22,191.47/x
  3. Step 3: Cross multiply
    10,302.19x = 22,191.47 × 22,191.47
  4. Step 4: Simplify right side
    10,302.19x = 492,461,285.28
  5. Step 5: Solve for x
    x = 492,461,285.28/10,302.19
  6. Step 6: Final answer
    x = 47,801.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.