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Finding the Third Proportional to 427,558,419 and 660,972,069

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Solution

The third proportional to 427,558,419 and 660,972,069 is: 1,021,811,421.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,558,419 : 660,972,069 = 660,972,069 : x
  2. Step 2: Convert to fraction form
    427,558,419/660,972,069 = 660,972,069/x
  3. Step 3: Cross multiply
    427,558,419x = 660,972,069 × 660,972,069
  4. Step 4: Simplify right side
    427,558,419x = 436,884,075,998,140,736
  5. Step 5: Solve for x
    x = 436,884,075,998,140,736/427,558,419
  6. Step 6: Final answer
    x = 1,021,811,421.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.