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Finding the Third Proportional to 128,464,678.13 and 192,736,395

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Solution

The third proportional to 128,464,678.13 and 192,736,395 is: 289,163,671.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,464,678.13 : 192,736,395 = 192,736,395 : x
  2. Step 2: Convert to fraction form
    128,464,678.13/192,736,395 = 192,736,395/x
  3. Step 3: Cross multiply
    128,464,678.13x = 192,736,395 × 192,736,395
  4. Step 4: Simplify right side
    128,464,678.13x = 37,147,317,957,596,024
  5. Step 5: Solve for x
    x = 37,147,317,957,596,024/128,464,678.13
  6. Step 6: Final answer
    x = 289,163,671.29

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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.