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Finding the Third Proportional to 9,120,384 and 19,270,656

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Solution

The third proportional to 9,120,384 and 19,270,656 is: 40,717,384.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,120,384 : 19,270,656 = 19,270,656 : x
  2. Step 2: Convert to fraction form
    9,120,384/19,270,656 = 19,270,656/x
  3. Step 3: Cross multiply
    9,120,384x = 19,270,656 × 19,270,656
  4. Step 4: Simplify right side
    9,120,384x = 371,358,182,670,336
  5. Step 5: Solve for x
    x = 371,358,182,670,336/9,120,384
  6. Step 6: Final answer
    x = 40,717,384.56

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.