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Finding the Third Proportional to 294,859,404 and 639,840,316

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Solution

The third proportional to 294,859,404 and 639,840,316 is: 1,388,443,524.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,859,404 : 639,840,316 = 639,840,316 : x
  2. Step 2: Convert to fraction form
    294,859,404/639,840,316 = 639,840,316/x
  3. Step 3: Cross multiply
    294,859,404x = 639,840,316 × 639,840,316
  4. Step 4: Simplify right side
    294,859,404x = 409,395,629,978,979,840
  5. Step 5: Solve for x
    x = 409,395,629,978,979,840/294,859,404
  6. Step 6: Final answer
    x = 1,388,443,524.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.