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Finding the Third Proportional to 508,284 and 747,642

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Solution

The third proportional to 508,284 and 747,642 is: 1,099,717.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,284 : 747,642 = 747,642 : x
  2. Step 2: Convert to fraction form
    508,284/747,642 = 747,642/x
  3. Step 3: Cross multiply
    508,284x = 747,642 × 747,642
  4. Step 4: Simplify right side
    508,284x = 558,968,560,164
  5. Step 5: Solve for x
    x = 558,968,560,164/508,284
  6. Step 6: Final answer
    x = 1,099,717.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.