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Finding the Third Proportional to 485,342 and 734,803

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Solution

The third proportional to 485,342 and 734,803 is: 1,112,484.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,342 : 734,803 = 734,803 : x
  2. Step 2: Convert to fraction form
    485,342/734,803 = 734,803/x
  3. Step 3: Cross multiply
    485,342x = 734,803 × 734,803
  4. Step 4: Simplify right side
    485,342x = 539,935,448,809
  5. Step 5: Solve for x
    x = 539,935,448,809/485,342
  6. Step 6: Final answer
    x = 1,112,484.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.