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Finding the Third Proportional to 509,666,817.94 and 787,032,067.78

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Solution

The third proportional to 509,666,817.94 and 787,032,067.78 is: 1,215,341,972.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,666,817.94 : 787,032,067.78 = 787,032,067.78 : x
  2. Step 2: Convert to fraction form
    509,666,817.94/787,032,067.78 = 787,032,067.78/x
  3. Step 3: Cross multiply
    509,666,817.94x = 787,032,067.78 × 787,032,067.78
  4. Step 4: Simplify right side
    509,666,817.94x = 619,419,475,716,030,080
  5. Step 5: Solve for x
    x = 619,419,475,716,030,080/509,666,817.94
  6. Step 6: Final answer
    x = 1,215,341,972.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.