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Finding the Third Proportional to 153,991,053 and 320,720,287

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Solution

The third proportional to 153,991,053 and 320,720,287 is: 667,970,641.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,991,053 : 320,720,287 = 320,720,287 : x
  2. Step 2: Convert to fraction form
    153,991,053/320,720,287 = 320,720,287/x
  3. Step 3: Cross multiply
    153,991,053x = 320,720,287 × 320,720,287
  4. Step 4: Simplify right side
    153,991,053x = 102,861,502,493,362,368
  5. Step 5: Solve for x
    x = 102,861,502,493,362,368/153,991,053
  6. Step 6: Final answer
    x = 667,970,641.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.