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Finding the Third Proportional to 172,689,788.50 and 375,636,653.75

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Solution

The third proportional to 172,689,788.50 and 375,636,653.75 is: 817,088,820.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,689,788.50 : 375,636,653.75 = 375,636,653.75 : x
  2. Step 2: Convert to fraction form
    172,689,788.50/375,636,653.75 = 375,636,653.75/x
  3. Step 3: Cross multiply
    172,689,788.50x = 375,636,653.75 × 375,636,653.75
  4. Step 4: Simplify right side
    172,689,788.50x = 141,102,895,640,497,392
  5. Step 5: Solve for x
    x = 141,102,895,640,497,392/172,689,788.50
  6. Step 6: Final answer
    x = 817,088,820.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.