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Finding the Third Proportional to 21,501.70 and 31,619.11

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Solution

The third proportional to 21,501.70 and 31,619.11 is: 46,497.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,501.70 : 31,619.11 = 31,619.11 : x
  2. Step 2: Convert to fraction form
    21,501.70/31,619.11 = 31,619.11/x
  3. Step 3: Cross multiply
    21,501.70x = 31,619.11 × 31,619.11
  4. Step 4: Simplify right side
    21,501.70x = 999,768,077.67
  5. Step 5: Solve for x
    x = 999,768,077.67/21,501.70
  6. Step 6: Final answer
    x = 46,497.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.