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Finding the Third Proportional to 423,946,620 and 639,950,488.50

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Solution

The third proportional to 423,946,620 and 639,950,488.50 is: 966,009,889.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,946,620 : 639,950,488.50 = 639,950,488.50 : x
  2. Step 2: Convert to fraction form
    423,946,620/639,950,488.50 = 639,950,488.50/x
  3. Step 3: Cross multiply
    423,946,620x = 639,950,488.50 × 639,950,488.50
  4. Step 4: Simplify right side
    423,946,620x = 409,536,627,731,388,608
  5. Step 5: Solve for x
    x = 409,536,627,731,388,608/423,946,620
  6. Step 6: Final answer
    x = 966,009,889.95

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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.