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Finding the Third Proportional to 133,600,824 and 206,865,720

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Solution

The third proportional to 133,600,824 and 206,865,720 is: 320,308,100.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,600,824 : 206,865,720 = 206,865,720 : x
  2. Step 2: Convert to fraction form
    133,600,824/206,865,720 = 206,865,720/x
  3. Step 3: Cross multiply
    133,600,824x = 206,865,720 × 206,865,720
  4. Step 4: Simplify right side
    133,600,824x = 42,793,426,111,118,400
  5. Step 5: Solve for x
    x = 42,793,426,111,118,400/133,600,824
  6. Step 6: Final answer
    x = 320,308,100.13

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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.