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Finding the Third Proportional to 506,405 and 783,869

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Solution

The third proportional to 506,405 and 783,869 is: 1,213,358.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,405 : 783,869 = 783,869 : x
  2. Step 2: Convert to fraction form
    506,405/783,869 = 783,869/x
  3. Step 3: Cross multiply
    506,405x = 783,869 × 783,869
  4. Step 4: Simplify right side
    506,405x = 614,450,609,161
  5. Step 5: Solve for x
    x = 614,450,609,161/506,405
  6. Step 6: Final answer
    x = 1,213,358.10

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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.