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Finding the Third Proportional to 399,941,078 and 623,294,337

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Solution

The third proportional to 399,941,078 and 623,294,337 is: 971,382,665.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,941,078 : 623,294,337 = 623,294,337 : x
  2. Step 2: Convert to fraction form
    399,941,078/623,294,337 = 623,294,337/x
  3. Step 3: Cross multiply
    399,941,078x = 623,294,337 × 623,294,337
  4. Step 4: Simplify right side
    399,941,078x = 388,495,830,536,269,568
  5. Step 5: Solve for x
    x = 388,495,830,536,269,568/399,941,078
  6. Step 6: Final answer
    x = 971,382,665.86

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.