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Finding the Third Proportional to 423,946,613.25 and 639,950,479.88

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Solution

The third proportional to 423,946,613.25 and 639,950,479.88 is: 966,009,879.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,946,613.25 : 639,950,479.88 = 639,950,479.88 : x
  2. Step 2: Convert to fraction form
    423,946,613.25/639,950,479.88 = 639,950,479.88/x
  3. Step 3: Cross multiply
    423,946,613.25x = 639,950,479.88 × 639,950,479.88
  4. Step 4: Simplify right side
    423,946,613.25x = 409,536,616,692,242,752
  5. Step 5: Solve for x
    x = 409,536,616,692,242,752/423,946,613.25
  6. Step 6: Final answer
    x = 966,009,879.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.