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Finding the Third Proportional to 15,140.81 and 21,673.13

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Solution

The third proportional to 15,140.81 and 21,673.13 is: 31,023.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,140.81 : 21,673.13 = 21,673.13 : x
  2. Step 2: Convert to fraction form
    15,140.81/21,673.13 = 21,673.13/x
  3. Step 3: Cross multiply
    15,140.81x = 21,673.13 × 21,673.13
  4. Step 4: Simplify right side
    15,140.81x = 469,724,347.27
  5. Step 5: Solve for x
    x = 469,724,347.27/15,140.81
  6. Step 6: Final answer
    x = 31,023.72

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1.5x scale

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.