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Finding the Third Proportional to 209,901,476 and 329,243,646

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Solution

The third proportional to 209,901,476 and 329,243,646 is: 516,439,333.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,901,476 : 329,243,646 = 329,243,646 : x
  2. Step 2: Convert to fraction form
    209,901,476/329,243,646 = 329,243,646/x
  3. Step 3: Cross multiply
    209,901,476x = 329,243,646 × 329,243,646
  4. Step 4: Simplify right side
    209,901,476x = 108,401,378,431,373,312
  5. Step 5: Solve for x
    x = 108,401,378,431,373,312/209,901,476
  6. Step 6: Final answer
    x = 516,439,333.81

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.