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Finding the Third Proportional to 66,368.25 and 143,296.88

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Solution

The third proportional to 66,368.25 and 143,296.88 is: 309,394.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,368.25 : 143,296.88 = 143,296.88 : x
  2. Step 2: Convert to fraction form
    66,368.25/143,296.88 = 143,296.88/x
  3. Step 3: Cross multiply
    66,368.25x = 143,296.88 × 143,296.88
  4. Step 4: Simplify right side
    66,368.25x = 20,533,994,384.77
  5. Step 5: Solve for x
    x = 20,533,994,384.77/66,368.25
  6. Step 6: Final answer
    x = 309,394.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.