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Finding the Third Proportional to 215,505,438 and 328,638,663

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Solution

The third proportional to 215,505,438 and 328,638,663 is: 501,163,088.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,505,438 : 328,638,663 = 328,638,663 : x
  2. Step 2: Convert to fraction form
    215,505,438/328,638,663 = 328,638,663/x
  3. Step 3: Cross multiply
    215,505,438x = 328,638,663 × 328,638,663
  4. Step 4: Simplify right side
    215,505,438x = 108,003,370,818,427,568
  5. Step 5: Solve for x
    x = 108,003,370,818,427,568/215,505,438
  6. Step 6: Final answer
    x = 501,163,088.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.