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Finding the Third Proportional to 72,910,180 and 172,111,354

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Solution

The third proportional to 72,910,180 and 172,111,354 is: 406,285,078.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,910,180 : 172,111,354 = 172,111,354 : x
  2. Step 2: Convert to fraction form
    72,910,180/172,111,354 = 172,111,354/x
  3. Step 3: Cross multiply
    72,910,180x = 172,111,354 × 172,111,354
  4. Step 4: Simplify right side
    72,910,180x = 29,622,318,175,713,316
  5. Step 5: Solve for x
    x = 29,622,318,175,713,316/72,910,180
  6. Step 6: Final answer
    x = 406,285,078.10

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.