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Finding the Third Proportional to 57,210.75 and 77,431.50

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Solution

The third proportional to 57,210.75 and 77,431.50 is: 104,799.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,210.75 : 77,431.50 = 77,431.50 : x
  2. Step 2: Convert to fraction form
    57,210.75/77,431.50 = 77,431.50/x
  3. Step 3: Cross multiply
    57,210.75x = 77,431.50 × 77,431.50
  4. Step 4: Simplify right side
    57,210.75x = 5,995,637,192.25
  5. Step 5: Solve for x
    x = 5,995,637,192.25/57,210.75
  6. Step 6: Final answer
    x = 104,799.14

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.