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Finding the Third Proportional to 513,140 and 804,943

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Solution

The third proportional to 513,140 and 804,943 is: 1,262,683.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,140 : 804,943 = 804,943 : x
  2. Step 2: Convert to fraction form
    513,140/804,943 = 804,943/x
  3. Step 3: Cross multiply
    513,140x = 804,943 × 804,943
  4. Step 4: Simplify right side
    513,140x = 647,933,233,249
  5. Step 5: Solve for x
    x = 647,933,233,249/513,140
  6. Step 6: Final answer
    x = 1,262,683.15

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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.