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Finding the Third Proportional to 181,840,160 and 398,885,512

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Solution

The third proportional to 181,840,160 and 398,885,512 is: 874,997,314.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,840,160 : 398,885,512 = 398,885,512 : x
  2. Step 2: Convert to fraction form
    181,840,160/398,885,512 = 398,885,512/x
  3. Step 3: Cross multiply
    181,840,160x = 398,885,512 × 398,885,512
  4. Step 4: Simplify right side
    181,840,160x = 159,109,651,683,502,144
  5. Step 5: Solve for x
    x = 159,109,651,683,502,144/181,840,160
  6. Step 6: Final answer
    x = 874,997,314.58

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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.