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Finding the Third Proportional to 218,485,681 and 468,135,360

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Solution

The third proportional to 218,485,681 and 468,135,360 is: 1,003,043,834.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,485,681 : 468,135,360 = 468,135,360 : x
  2. Step 2: Convert to fraction form
    218,485,681/468,135,360 = 468,135,360/x
  3. Step 3: Cross multiply
    218,485,681x = 468,135,360 × 468,135,360
  4. Step 4: Simplify right side
    218,485,681x = 219,150,715,282,329,600
  5. Step 5: Solve for x
    x = 219,150,715,282,329,600/218,485,681
  6. Step 6: Final answer
    x = 1,003,043,834.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.