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Finding the Third Proportional to 517,248 and 798,720

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Solution

The third proportional to 517,248 and 798,720 is: 1,233,361.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,248 : 798,720 = 798,720 : x
  2. Step 2: Convert to fraction form
    517,248/798,720 = 798,720/x
  3. Step 3: Cross multiply
    517,248x = 798,720 × 798,720
  4. Step 4: Simplify right side
    517,248x = 637,953,638,400
  5. Step 5: Solve for x
    x = 637,953,638,400/517,248
  6. Step 6: Final answer
    x = 1,233,361.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.