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Finding the Third Proportional to 423,946,440 and 639,950,211

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Solution

The third proportional to 423,946,440 and 639,950,211 is: 966,009,462.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,946,440 : 639,950,211 = 639,950,211 : x
  2. Step 2: Convert to fraction form
    423,946,440/639,950,211 = 639,950,211/x
  3. Step 3: Cross multiply
    423,946,440x = 639,950,211 × 639,950,211
  4. Step 4: Simplify right side
    423,946,440x = 409,536,272,558,944,512
  5. Step 5: Solve for x
    x = 409,536,272,558,944,512/423,946,440
  6. Step 6: Final answer
    x = 966,009,462.32

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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.