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Finding the Third Proportional to 78,732,576 and 171,791,784

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Solution

The third proportional to 78,732,576 and 171,791,784 is: 374,843,788.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,732,576 : 171,791,784 = 171,791,784 : x
  2. Step 2: Convert to fraction form
    78,732,576/171,791,784 = 171,791,784/x
  3. Step 3: Cross multiply
    78,732,576x = 171,791,784 × 171,791,784
  4. Step 4: Simplify right side
    78,732,576x = 29,512,417,049,902,656
  5. Step 5: Solve for x
    x = 29,512,417,049,902,656/78,732,576
  6. Step 6: Final answer
    x = 374,843,788.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.