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Finding the Third Proportional to 393,858,308 and 857,070,760

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Solution

The third proportional to 393,858,308 and 857,070,760 is: 1,865,062,314.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,858,308 : 857,070,760 = 857,070,760 : x
  2. Step 2: Convert to fraction form
    393,858,308/857,070,760 = 857,070,760/x
  3. Step 3: Cross multiply
    393,858,308x = 857,070,760 × 857,070,760
  4. Step 4: Simplify right side
    393,858,308x = 734,570,287,646,977,536
  5. Step 5: Solve for x
    x = 734,570,287,646,977,536/393,858,308
  6. Step 6: Final answer
    x = 1,865,062,314.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.