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Finding the Third Proportional to 21,201.75 and 45,775.13

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Solution

The third proportional to 21,201.75 and 45,775.13 is: 98,829.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,201.75 : 45,775.13 = 45,775.13 : x
  2. Step 2: Convert to fraction form
    21,201.75/45,775.13 = 45,775.13/x
  3. Step 3: Cross multiply
    21,201.75x = 45,775.13 × 45,775.13
  4. Step 4: Simplify right side
    21,201.75x = 2,095,362,068.77
  5. Step 5: Solve for x
    x = 2,095,362,068.77/21,201.75
  6. Step 6: Final answer
    x = 98,829.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.