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Finding the Third Proportional to 166,389,020 and 259,656,423

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Solution

The third proportional to 166,389,020 and 259,656,423 is: 405,203,768.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,389,020 : 259,656,423 = 259,656,423 : x
  2. Step 2: Convert to fraction form
    166,389,020/259,656,423 = 259,656,423/x
  3. Step 3: Cross multiply
    166,389,020x = 259,656,423 × 259,656,423
  4. Step 4: Simplify right side
    166,389,020x = 67,421,458,005,154,928
  5. Step 5: Solve for x
    x = 67,421,458,005,154,928/166,389,020
  6. Step 6: Final answer
    x = 405,203,768.89

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.