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Finding the Third Proportional to 80,583,978.94 and 172,666,110.38

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Solution

The third proportional to 80,583,978.94 and 172,666,110.38 is: 369,969,143.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,583,978.94 : 172,666,110.38 = 172,666,110.38 : x
  2. Step 2: Convert to fraction form
    80,583,978.94/172,666,110.38 = 172,666,110.38/x
  3. Step 3: Cross multiply
    80,583,978.94x = 172,666,110.38 × 172,666,110.38
  4. Step 4: Simplify right side
    80,583,978.94x = 29,813,585,672,031,684
  5. Step 5: Solve for x
    x = 29,813,585,672,031,684/80,583,978.94
  6. Step 6: Final answer
    x = 369,969,143.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.