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Finding the Third Proportional to 398,865,941.50 and 612,706,922.25

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Solution

The third proportional to 398,865,941.50 and 612,706,922.25 is: 941,192,850.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,865,941.50 : 612,706,922.25 = 612,706,922.25 : x
  2. Step 2: Convert to fraction form
    398,865,941.50/612,706,922.25 = 612,706,922.25/x
  3. Step 3: Cross multiply
    398,865,941.50x = 612,706,922.25 × 612,706,922.25
  4. Step 4: Simplify right side
    398,865,941.50x = 375,409,772,573,067,520
  5. Step 5: Solve for x
    x = 375,409,772,573,067,520/398,865,941.50
  6. Step 6: Final answer
    x = 941,192,850.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.