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Finding the Third Proportional to 3,178,656 and 6,899,328

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Solution

The third proportional to 3,178,656 and 6,899,328 is: 14,975,111.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178,656 : 6,899,328 = 6,899,328 : x
  2. Step 2: Convert to fraction form
    3,178,656/6,899,328 = 6,899,328/x
  3. Step 3: Cross multiply
    3,178,656x = 6,899,328 × 6,899,328
  4. Step 4: Simplify right side
    3,178,656x = 47,600,726,851,584
  5. Step 5: Solve for x
    x = 47,600,726,851,584/3,178,656
  6. Step 6: Final answer
    x = 14,975,111.13

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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.