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Finding the Third Proportional to 81,000,804 and 177,387,720

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Solution

The third proportional to 81,000,804 and 177,387,720 is: 388,470,257.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,000,804 : 177,387,720 = 177,387,720 : x
  2. Step 2: Convert to fraction form
    81,000,804/177,387,720 = 177,387,720/x
  3. Step 3: Cross multiply
    81,000,804x = 177,387,720 × 177,387,720
  4. Step 4: Simplify right side
    81,000,804x = 31,466,403,206,798,400
  5. Step 5: Solve for x
    x = 31,466,403,206,798,400/81,000,804
  6. Step 6: Final answer
    x = 388,470,257.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.