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Finding the Third Proportional to 2,175,400 and 4,712,380

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Solution

The third proportional to 2,175,400 and 4,712,380 is: 10,208,019.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175,400 : 4,712,380 = 4,712,380 : x
  2. Step 2: Convert to fraction form
    2,175,400/4,712,380 = 4,712,380/x
  3. Step 3: Cross multiply
    2,175,400x = 4,712,380 × 4,712,380
  4. Step 4: Simplify right side
    2,175,400x = 22,206,525,264,400
  5. Step 5: Solve for x
    x = 22,206,525,264,400/2,175,400
  6. Step 6: Final answer
    x = 10,208,019.34

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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.