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Finding the Third Proportional to 7,816,428 and 17,223,078

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Solution

The third proportional to 7,816,428 and 17,223,078 is: 37,950,124.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,816,428 : 17,223,078 = 17,223,078 : x
  2. Step 2: Convert to fraction form
    7,816,428/17,223,078 = 17,223,078/x
  3. Step 3: Cross multiply
    7,816,428x = 17,223,078 × 17,223,078
  4. Step 4: Simplify right side
    7,816,428x = 296,634,415,794,084
  5. Step 5: Solve for x
    x = 296,634,415,794,084/7,816,428
  6. Step 6: Final answer
    x = 37,950,124.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.