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Finding the Third Proportional to 77,064,804 and 161,696,172

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Solution

The third proportional to 77,064,804 and 161,696,172 is: 339,268,390.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,064,804 : 161,696,172 = 161,696,172 : x
  2. Step 2: Convert to fraction form
    77,064,804/161,696,172 = 161,696,172/x
  3. Step 3: Cross multiply
    77,064,804x = 161,696,172 × 161,696,172
  4. Step 4: Simplify right side
    77,064,804x = 26,145,652,039,453,584
  5. Step 5: Solve for x
    x = 26,145,652,039,453,584/77,064,804
  6. Step 6: Final answer
    x = 339,268,390.79

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.