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Finding the Third Proportional to 206,762,980.50 and 320,114,598.75

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Solution

The third proportional to 206,762,980.50 and 320,114,598.75 is: 495,607,850.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,762,980.50 : 320,114,598.75 = 320,114,598.75 : x
  2. Step 2: Convert to fraction form
    206,762,980.50/320,114,598.75 = 320,114,598.75/x
  3. Step 3: Cross multiply
    206,762,980.50x = 320,114,598.75 × 320,114,598.75
  4. Step 4: Simplify right side
    206,762,980.50x = 102,473,356,332,873,504
  5. Step 5: Solve for x
    x = 102,473,356,332,873,504/206,762,980.50
  6. Step 6: Final answer
    x = 495,607,850.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.