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Finding the Third Proportional to 178,888,160 and 386,498,672

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Solution

The third proportional to 178,888,160 and 386,498,672 is: 835,053,719.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,888,160 : 386,498,672 = 386,498,672 : x
  2. Step 2: Convert to fraction form
    178,888,160/386,498,672 = 386,498,672/x
  3. Step 3: Cross multiply
    178,888,160x = 386,498,672 × 386,498,672
  4. Step 4: Simplify right side
    178,888,160x = 149,381,223,457,763,584
  5. Step 5: Solve for x
    x = 149,381,223,457,763,584/178,888,160
  6. Step 6: Final answer
    x = 835,053,719.92

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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.