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Finding the Third Proportional to 66,572 and 144,808

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Solution

The third proportional to 66,572 and 144,808 is: 314,987.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,572 : 144,808 = 144,808 : x
  2. Step 2: Convert to fraction form
    66,572/144,808 = 144,808/x
  3. Step 3: Cross multiply
    66,572x = 144,808 × 144,808
  4. Step 4: Simplify right side
    66,572x = 20,969,356,864
  5. Step 5: Solve for x
    x = 20,969,356,864/66,572
  6. Step 6: Final answer
    x = 314,987.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.