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Finding the Third Proportional to 506,398 and 783,858

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Solution

The third proportional to 506,398 and 783,858 is: 1,213,340.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,398 : 783,858 = 783,858 : x
  2. Step 2: Convert to fraction form
    506,398/783,858 = 783,858/x
  3. Step 3: Cross multiply
    506,398x = 783,858 × 783,858
  4. Step 4: Simplify right side
    506,398x = 614,433,364,164
  5. Step 5: Solve for x
    x = 614,433,364,164/506,398
  6. Step 6: Final answer
    x = 1,213,340.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.