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Finding the Third Proportional to 648,963 and 1,407,438

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Solution

The third proportional to 648,963 and 1,407,438 is: 3,052,380.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,963 : 1,407,438 = 1,407,438 : x
  2. Step 2: Convert to fraction form
    648,963/1,407,438 = 1,407,438/x
  3. Step 3: Cross multiply
    648,963x = 1,407,438 × 1,407,438
  4. Step 4: Simplify right side
    648,963x = 1,980,881,723,844
  5. Step 5: Solve for x
    x = 1,980,881,723,844/648,963
  6. Step 6: Final answer
    x = 3,052,380.06

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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.