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Finding the Third Proportional to 80,683,830 and 121,108,365

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Solution

The third proportional to 80,683,830 and 121,108,365 is: 181,786,562.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,683,830 : 121,108,365 = 121,108,365 : x
  2. Step 2: Convert to fraction form
    80,683,830/121,108,365 = 121,108,365/x
  3. Step 3: Cross multiply
    80,683,830x = 121,108,365 × 121,108,365
  4. Step 4: Simplify right side
    80,683,830x = 14,667,236,072,973,224
  5. Step 5: Solve for x
    x = 14,667,236,072,973,224/80,683,830
  6. Step 6: Final answer
    x = 181,786,562.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.