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Finding the Third Proportional to 520,623,431 and 690,944,442

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Solution

The third proportional to 520,623,431 and 690,944,442 is: 916,985,662.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,623,431 : 690,944,442 = 690,944,442 : x
  2. Step 2: Convert to fraction form
    520,623,431/690,944,442 = 690,944,442/x
  3. Step 3: Cross multiply
    520,623,431x = 690,944,442 × 690,944,442
  4. Step 4: Simplify right side
    520,623,431x = 477,404,221,930,691,392
  5. Step 5: Solve for x
    x = 477,404,221,930,691,392/520,623,431
  6. Step 6: Final answer
    x = 916,985,662.77

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.