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Finding the Third Proportional to 503,586 and 780,907

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Solution

The third proportional to 503,586 and 780,907 is: 1,210,946.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,586 : 780,907 = 780,907 : x
  2. Step 2: Convert to fraction form
    503,586/780,907 = 780,907/x
  3. Step 3: Cross multiply
    503,586x = 780,907 × 780,907
  4. Step 4: Simplify right side
    503,586x = 609,815,742,649
  5. Step 5: Solve for x
    x = 609,815,742,649/503,586
  6. Step 6: Final answer
    x = 1,210,946.58

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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.