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Finding the Third Proportional to 296,905,000.50 and 639,790,400.25

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Solution

The third proportional to 296,905,000.50 and 639,790,400.25 is: 1,378,662,385.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,905,000.50 : 639,790,400.25 = 639,790,400.25 : x
  2. Step 2: Convert to fraction form
    296,905,000.50/639,790,400.25 = 639,790,400.25/x
  3. Step 3: Cross multiply
    296,905,000.50x = 639,790,400.25 × 639,790,400.25
  4. Step 4: Simplify right side
    296,905,000.50x = 409,331,756,252,055,232
  5. Step 5: Solve for x
    x = 409,331,756,252,055,232/296,905,000.50
  6. Step 6: Final answer
    x = 1,378,662,385.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.