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Finding the Third Proportional to 35,570 and 66,628

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Solution

The third proportional to 35,570 and 66,628 is: 124,804.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,570 : 66,628 = 66,628 : x
  2. Step 2: Convert to fraction form
    35,570/66,628 = 66,628/x
  3. Step 3: Cross multiply
    35,570x = 66,628 × 66,628
  4. Step 4: Simplify right side
    35,570x = 4,439,290,384
  5. Step 5: Solve for x
    x = 4,439,290,384/35,570
  6. Step 6: Final answer
    x = 124,804.34

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.