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Finding the Third Proportional to 172,969,493.98 and 278,537,852.04

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Solution

The third proportional to 172,969,493.98 and 278,537,852.04 is: 448,537,676.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,969,493.98 : 278,537,852.04 = 278,537,852.04 : x
  2. Step 2: Convert to fraction form
    172,969,493.98/278,537,852.04 = 278,537,852.04/x
  3. Step 3: Cross multiply
    172,969,493.98x = 278,537,852.04 × 278,537,852.04
  4. Step 4: Simplify right side
    172,969,493.98x = 77,583,335,018,538,864
  5. Step 5: Solve for x
    x = 77,583,335,018,538,864/172,969,493.98
  6. Step 6: Final answer
    x = 448,537,676.99

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.