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Finding the Third Proportional to 946,267,196 and 2,070,919,240

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Solution

The third proportional to 946,267,196 and 2,070,919,240 is: 4,532,236,261.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,267,196 : 2,070,919,240 = 2,070,919,240 : x
  2. Step 2: Convert to fraction form
    946,267,196/2,070,919,240 = 2,070,919,240/x
  3. Step 3: Cross multiply
    946,267,196x = 2,070,919,240 × 2,070,919,240
  4. Step 4: Simplify right side
    946,267,196x = 4,288,706,498,602,177,536
  5. Step 5: Solve for x
    x = 4,288,706,498,602,177,536/946,267,196
  6. Step 6: Final answer
    x = 4,532,236,261.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.