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Finding the Third Proportional to 51,728,322 and 86,210,397

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Solution

The third proportional to 51,728,322 and 86,210,397 is: 143,678,206.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,728,322 : 86,210,397 = 86,210,397 : x
  2. Step 2: Convert to fraction form
    51,728,322/86,210,397 = 86,210,397/x
  3. Step 3: Cross multiply
    51,728,322x = 86,210,397 × 86,210,397
  4. Step 4: Simplify right side
    51,728,322x = 7,432,232,550,897,609
  5. Step 5: Solve for x
    x = 7,432,232,550,897,609/51,728,322
  6. Step 6: Final answer
    x = 143,678,206.90

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.