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Finding the Third Proportional to 381,995,140 and 818,446,363

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Solution

The third proportional to 381,995,140 and 818,446,363 is: 1,753,567,988.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,995,140 : 818,446,363 = 818,446,363 : x
  2. Step 2: Convert to fraction form
    381,995,140/818,446,363 = 818,446,363/x
  3. Step 3: Cross multiply
    381,995,140x = 818,446,363 × 818,446,363
  4. Step 4: Simplify right side
    381,995,140x = 669,854,449,107,927,808
  5. Step 5: Solve for x
    x = 669,854,449,107,927,808/381,995,140
  6. Step 6: Final answer
    x = 1,753,567,988.08

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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.