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Finding the Third Proportional to 381,654,442 and 830,889,648

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Solution

The third proportional to 381,654,442 and 830,889,648 is: 1,808,907,564.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,654,442 : 830,889,648 = 830,889,648 : x
  2. Step 2: Convert to fraction form
    381,654,442/830,889,648 = 830,889,648/x
  3. Step 3: Cross multiply
    381,654,442x = 830,889,648 × 830,889,648
  4. Step 4: Simplify right side
    381,654,442x = 690,377,607,153,563,904
  5. Step 5: Solve for x
    x = 690,377,607,153,563,904/381,654,442
  6. Step 6: Final answer
    x = 1,808,907,564.49

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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.