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Finding the Third Proportional to 221,286,762 and 324,755,662.50

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Solution

The third proportional to 221,286,762 and 324,755,662.50 is: 476,604,381.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,286,762 : 324,755,662.50 = 324,755,662.50 : x
  2. Step 2: Convert to fraction form
    221,286,762/324,755,662.50 = 324,755,662.50/x
  3. Step 3: Cross multiply
    221,286,762x = 324,755,662.50 × 324,755,662.50
  4. Step 4: Simplify right side
    221,286,762x = 105,466,240,325,813,904
  5. Step 5: Solve for x
    x = 105,466,240,325,813,904/221,286,762
  6. Step 6: Final answer
    x = 476,604,381.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.