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Finding the Third Proportional to 66,419,776 and 145,915,544

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Solution

The third proportional to 66,419,776 and 145,915,544 is: 320,557,328.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,419,776 : 145,915,544 = 145,915,544 : x
  2. Step 2: Convert to fraction form
    66,419,776/145,915,544 = 145,915,544/x
  3. Step 3: Cross multiply
    66,419,776x = 145,915,544 × 145,915,544
  4. Step 4: Simplify right side
    66,419,776x = 21,291,345,980,815,936
  5. Step 5: Solve for x
    x = 21,291,345,980,815,936/66,419,776
  6. Step 6: Final answer
    x = 320,557,328.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.