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Finding the Third Proportional to 66,507,923 and 99,662,169

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Solution

The third proportional to 66,507,923 and 99,662,169 is: 149,343,829.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,507,923 : 99,662,169 = 99,662,169 : x
  2. Step 2: Convert to fraction form
    66,507,923/99,662,169 = 99,662,169/x
  3. Step 3: Cross multiply
    66,507,923x = 99,662,169 × 99,662,169
  4. Step 4: Simplify right side
    66,507,923x = 9,932,547,929,784,560
  5. Step 5: Solve for x
    x = 9,932,547,929,784,560/66,507,923
  6. Step 6: Final answer
    x = 149,343,829.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.