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Finding the Third Proportional to 7,788,360 and 11,617,728

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Solution

The third proportional to 7,788,360 and 11,617,728 is: 17,329,913.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,788,360 : 11,617,728 = 11,617,728 : x
  2. Step 2: Convert to fraction form
    7,788,360/11,617,728 = 11,617,728/x
  3. Step 3: Cross multiply
    7,788,360x = 11,617,728 × 11,617,728
  4. Step 4: Simplify right side
    7,788,360x = 134,971,603,881,984
  5. Step 5: Solve for x
    x = 134,971,603,881,984/7,788,360
  6. Step 6: Final answer
    x = 17,329,913.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.