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Finding the Third Proportional to 66,335.63 and 138,820.50

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Solution

The third proportional to 66,335.63 and 138,820.50 is: 290,509.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,335.63 : 138,820.50 = 138,820.50 : x
  2. Step 2: Convert to fraction form
    66,335.63/138,820.50 = 138,820.50/x
  3. Step 3: Cross multiply
    66,335.63x = 138,820.50 × 138,820.50
  4. Step 4: Simplify right side
    66,335.63x = 19,271,131,220.25
  5. Step 5: Solve for x
    x = 19,271,131,220.25/66,335.63
  6. Step 6: Final answer
    x = 290,509.53

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.