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Finding the Third Proportional to 279,010,288 and 459,419,623

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Solution

The third proportional to 279,010,288 and 459,419,623 is: 756,482,463.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,010,288 : 459,419,623 = 459,419,623 : x
  2. Step 2: Convert to fraction form
    279,010,288/459,419,623 = 459,419,623/x
  3. Step 3: Cross multiply
    279,010,288x = 459,419,623 × 459,419,623
  4. Step 4: Simplify right side
    279,010,288x = 211,066,389,997,462,144
  5. Step 5: Solve for x
    x = 211,066,389,997,462,144/279,010,288
  6. Step 6: Final answer
    x = 756,482,463.46

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.