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Finding the Third Proportional to 401,662,864 and 620,671,548

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Solution

The third proportional to 401,662,864 and 620,671,548 is: 959,095,811.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,662,864 : 620,671,548 = 620,671,548 : x
  2. Step 2: Convert to fraction form
    401,662,864/620,671,548 = 620,671,548/x
  3. Step 3: Cross multiply
    401,662,864x = 620,671,548 × 620,671,548
  4. Step 4: Simplify right side
    401,662,864x = 385,233,170,496,716,288
  5. Step 5: Solve for x
    x = 385,233,170,496,716,288/401,662,864
  6. Step 6: Final answer
    x = 959,095,811.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.