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Finding the Third Proportional to 80,939,783.25 and 178,018,391.25

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Solution

The third proportional to 80,939,783.25 and 178,018,391.25 is: 391,532,400.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,939,783.25 : 178,018,391.25 = 178,018,391.25 : x
  2. Step 2: Convert to fraction form
    80,939,783.25/178,018,391.25 = 178,018,391.25/x
  3. Step 3: Cross multiply
    80,939,783.25x = 178,018,391.25 × 178,018,391.25
  4. Step 4: Simplify right side
    80,939,783.25x = 31,690,547,623,238,076
  5. Step 5: Solve for x
    x = 31,690,547,623,238,076/80,939,783.25
  6. Step 6: Final answer
    x = 391,532,400.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.