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Finding the Third Proportional to 7,858,240 and 17,177,329

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Solution

The third proportional to 7,858,240 and 17,177,329 is: 37,547,928.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858,240 : 17,177,329 = 17,177,329 : x
  2. Step 2: Convert to fraction form
    7,858,240/17,177,329 = 17,177,329/x
  3. Step 3: Cross multiply
    7,858,240x = 17,177,329 × 17,177,329
  4. Step 4: Simplify right side
    7,858,240x = 295,060,631,574,241
  5. Step 5: Solve for x
    x = 295,060,631,574,241/7,858,240
  6. Step 6: Final answer
    x = 37,547,928.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.