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Finding the Third Proportional to 121,440,576 and 187,835,632

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Solution

The third proportional to 121,440,576 and 187,835,632 is: 290,530,774.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,440,576 : 187,835,632 = 187,835,632 : x
  2. Step 2: Convert to fraction form
    121,440,576/187,835,632 = 187,835,632/x
  3. Step 3: Cross multiply
    121,440,576x = 187,835,632 × 187,835,632
  4. Step 4: Simplify right side
    121,440,576x = 35,282,224,648,839,424
  5. Step 5: Solve for x
    x = 35,282,224,648,839,424/121,440,576
  6. Step 6: Final answer
    x = 290,530,774.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.