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Finding the Third Proportional to 7,872,768 and 17,051,328

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Solution

The third proportional to 7,872,768 and 17,051,328 is: 36,930,821.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872,768 : 17,051,328 = 17,051,328 : x
  2. Step 2: Convert to fraction form
    7,872,768/17,051,328 = 17,051,328/x
  3. Step 3: Cross multiply
    7,872,768x = 17,051,328 × 17,051,328
  4. Step 4: Simplify right side
    7,872,768x = 290,747,786,563,584
  5. Step 5: Solve for x
    x = 290,747,786,563,584/7,872,768
  6. Step 6: Final answer
    x = 36,930,821.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.