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Finding the Third Proportional to 221,286,740 and 324,755,628

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Solution

The third proportional to 221,286,740 and 324,755,628 is: 476,604,327.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,286,740 : 324,755,628 = 324,755,628 : x
  2. Step 2: Convert to fraction form
    221,286,740/324,755,628 = 324,755,628/x
  3. Step 3: Cross multiply
    221,286,740x = 324,755,628 × 324,755,628
  4. Step 4: Simplify right side
    221,286,740x = 105,466,217,917,674,384
  5. Step 5: Solve for x
    x = 105,466,217,917,674,384/221,286,740
  6. Step 6: Final answer
    x = 476,604,327.57

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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.