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Finding the Third Proportional to 66,289,149 and 156,261,955.50

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Solution

The third proportional to 66,289,149 and 156,261,955.50 is: 368,352,876.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,289,149 : 156,261,955.50 = 156,261,955.50 : x
  2. Step 2: Convert to fraction form
    66,289,149/156,261,955.50 = 156,261,955.50/x
  3. Step 3: Cross multiply
    66,289,149x = 156,261,955.50 × 156,261,955.50
  4. Step 4: Simplify right side
    66,289,149x = 24,417,798,736,683,980
  5. Step 5: Solve for x
    x = 24,417,798,736,683,980/66,289,149
  6. Step 6: Final answer
    x = 368,352,876.83

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.