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Finding the Third Proportional to 427,558,425 and 660,972,078

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Solution

The third proportional to 427,558,425 and 660,972,078 is: 1,021,811,435.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,558,425 : 660,972,078 = 660,972,078 : x
  2. Step 2: Convert to fraction form
    427,558,425/660,972,078 = 660,972,078/x
  3. Step 3: Cross multiply
    427,558,425x = 660,972,078 × 660,972,078
  4. Step 4: Simplify right side
    427,558,425x = 436,884,087,895,638,080
  5. Step 5: Solve for x
    x = 436,884,087,895,638,080/427,558,425
  6. Step 6: Final answer
    x = 1,021,811,435.23

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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.