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Finding the Third Proportional to 298,587,327.05 and 447,881,037.40

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Solution

The third proportional to 298,587,327.05 and 447,881,037.40 is: 671,821,626.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,587,327.05 : 447,881,037.40 = 447,881,037.40 : x
  2. Step 2: Convert to fraction form
    298,587,327.05/447,881,037.40 = 447,881,037.40/x
  3. Step 3: Cross multiply
    298,587,327.05x = 447,881,037.40 × 447,881,037.40
  4. Step 4: Simplify right side
    298,587,327.05x = 200,597,423,661,111,776
  5. Step 5: Solve for x
    x = 200,597,423,661,111,776/298,587,327.05
  6. Step 6: Final answer
    x = 671,821,626.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.