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Finding the Third Proportional to 64,265,226 and 141,567,348

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Solution

The third proportional to 64,265,226 and 141,567,348 is: 311,853,163.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,265,226 : 141,567,348 = 141,567,348 : x
  2. Step 2: Convert to fraction form
    64,265,226/141,567,348 = 141,567,348/x
  3. Step 3: Cross multiply
    64,265,226x = 141,567,348 × 141,567,348
  4. Step 4: Simplify right side
    64,265,226x = 20,041,314,019,753,104
  5. Step 5: Solve for x
    x = 20,041,314,019,753,104/64,265,226
  6. Step 6: Final answer
    x = 311,853,163.32

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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.