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Finding the Third Proportional to 66,563.02 and 144,607.78

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Solution

The third proportional to 66,563.02 and 144,607.78 is: 314,159.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,563.02 : 144,607.78 = 144,607.78 : x
  2. Step 2: Convert to fraction form
    66,563.02/144,607.78 = 144,607.78/x
  3. Step 3: Cross multiply
    66,563.02x = 144,607.78 × 144,607.78
  4. Step 4: Simplify right side
    66,563.02x = 20,911,410,398.05
  5. Step 5: Solve for x
    x = 20,911,410,398.05/66,563.02
  6. Step 6: Final answer
    x = 314,159.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.