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Finding the Third Proportional to 66,111,596 and 142,846,180

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Solution

The third proportional to 66,111,596 and 142,846,180 is: 308,645,266.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,111,596 : 142,846,180 = 142,846,180 : x
  2. Step 2: Convert to fraction form
    66,111,596/142,846,180 = 142,846,180/x
  3. Step 3: Cross multiply
    66,111,596x = 142,846,180 × 142,846,180
  4. Step 4: Simplify right side
    66,111,596x = 20,405,031,140,592,400
  5. Step 5: Solve for x
    x = 20,405,031,140,592,400/66,111,596
  6. Step 6: Final answer
    x = 308,645,266.11

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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.