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Finding the Third Proportional to 218,578,815 and 473,478,352.50

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Solution

The third proportional to 218,578,815 and 473,478,352.50 is: 1,025,633,478.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,578,815 : 473,478,352.50 = 473,478,352.50 : x
  2. Step 2: Convert to fraction form
    218,578,815/473,478,352.50 = 473,478,352.50/x
  3. Step 3: Cross multiply
    218,578,815x = 473,478,352.50 × 473,478,352.50
  4. Step 4: Simplify right side
    218,578,815x = 224,181,750,286,114,272
  5. Step 5: Solve for x
    x = 224,181,750,286,114,272/218,578,815
  6. Step 6: Final answer
    x = 1,025,633,478.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.