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Finding the Third Proportional to 513,142 and 804,946

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Solution

The third proportional to 513,142 and 804,946 is: 1,262,687.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,142 : 804,946 = 804,946 : x
  2. Step 2: Convert to fraction form
    513,142/804,946 = 804,946/x
  3. Step 3: Cross multiply
    513,142x = 804,946 × 804,946
  4. Step 4: Simplify right side
    513,142x = 647,938,062,916
  5. Step 5: Solve for x
    x = 647,938,062,916/513,142
  6. Step 6: Final answer
    x = 1,262,687.64

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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.