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Finding the Third Proportional to 64,649,412 and 143,647,758

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Solution

The third proportional to 64,649,412 and 143,647,758 is: 319,178,129.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,649,412 : 143,647,758 = 143,647,758 : x
  2. Step 2: Convert to fraction form
    64,649,412/143,647,758 = 143,647,758/x
  3. Step 3: Cross multiply
    64,649,412x = 143,647,758 × 143,647,758
  4. Step 4: Simplify right side
    64,649,412x = 20,634,678,378,426,564
  5. Step 5: Solve for x
    x = 20,634,678,378,426,564/64,649,412
  6. Step 6: Final answer
    x = 319,178,129.24

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.