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Finding the Third Proportional to 81,812,507 and 176,604,722

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Solution

The third proportional to 81,812,507 and 176,604,722 is: 381,228,115.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,812,507 : 176,604,722 = 176,604,722 : x
  2. Step 2: Convert to fraction form
    81,812,507/176,604,722 = 176,604,722/x
  3. Step 3: Cross multiply
    81,812,507x = 176,604,722 × 176,604,722
  4. Step 4: Simplify right side
    81,812,507x = 31,189,227,832,697,284
  5. Step 5: Solve for x
    x = 31,189,227,832,697,284/81,812,507
  6. Step 6: Final answer
    x = 381,228,115.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.