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Finding the Third Proportional to 399,941,074 and 623,294,331

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Solution

The third proportional to 399,941,074 and 623,294,331 is: 971,382,656.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,941,074 : 623,294,331 = 623,294,331 : x
  2. Step 2: Convert to fraction form
    399,941,074/623,294,331 = 623,294,331/x
  3. Step 3: Cross multiply
    399,941,074x = 623,294,331 × 623,294,331
  4. Step 4: Simplify right side
    399,941,074x = 388,495,823,056,737,536
  5. Step 5: Solve for x
    x = 388,495,823,056,737,536/399,941,074
  6. Step 6: Final answer
    x = 971,382,656.88

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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.