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Finding the Third Proportional to 498,312 and 783,180

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Solution

The third proportional to 498,312 and 783,180 is: 1,230,897.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,312 : 783,180 = 783,180 : x
  2. Step 2: Convert to fraction form
    498,312/783,180 = 783,180/x
  3. Step 3: Cross multiply
    498,312x = 783,180 × 783,180
  4. Step 4: Simplify right side
    498,312x = 613,370,912,400
  5. Step 5: Solve for x
    x = 613,370,912,400/498,312
  6. Step 6: Final answer
    x = 1,230,897.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.