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Finding the Third Proportional to 218,485,767 and 468,135,521

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Solution

The third proportional to 218,485,767 and 468,135,521 is: 1,003,044,129.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,485,767 : 468,135,521 = 468,135,521 : x
  2. Step 2: Convert to fraction form
    218,485,767/468,135,521 = 468,135,521/x
  3. Step 3: Cross multiply
    218,485,767x = 468,135,521 × 468,135,521
  4. Step 4: Simplify right side
    218,485,767x = 219,150,866,021,941,440
  5. Step 5: Solve for x
    x = 219,150,866,021,941,440/218,485,767
  6. Step 6: Final answer
    x = 1,003,044,129.74

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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.