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Finding the Third Proportional to 2,938,496 and 6,440,320

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Solution

The third proportional to 2,938,496 and 6,440,320 is: 14,115,289.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938,496 : 6,440,320 = 6,440,320 : x
  2. Step 2: Convert to fraction form
    2,938,496/6,440,320 = 6,440,320/x
  3. Step 3: Cross multiply
    2,938,496x = 6,440,320 × 6,440,320
  4. Step 4: Simplify right side
    2,938,496x = 41,477,721,702,400
  5. Step 5: Solve for x
    x = 41,477,721,702,400/2,938,496
  6. Step 6: Final answer
    x = 14,115,289.49

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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.