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Finding the Third Proportional to 427,558,452 and 660,972,118

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Solution

The third proportional to 427,558,452 and 660,972,118 is: 1,021,811,494.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,558,452 : 660,972,118 = 660,972,118 : x
  2. Step 2: Convert to fraction form
    427,558,452/660,972,118 = 660,972,118/x
  3. Step 3: Cross multiply
    427,558,452x = 660,972,118 × 660,972,118
  4. Step 4: Simplify right side
    427,558,452x = 436,884,140,773,405,952
  5. Step 5: Solve for x
    x = 436,884,140,773,405,952/427,558,452
  6. Step 6: Final answer
    x = 1,021,811,494.38

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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.