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Finding the Third Proportional to 515,929 and 743,131

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Solution

The third proportional to 515,929 and 743,131 is: 1,070,386.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,929 : 743,131 = 743,131 : x
  2. Step 2: Convert to fraction form
    515,929/743,131 = 743,131/x
  3. Step 3: Cross multiply
    515,929x = 743,131 × 743,131
  4. Step 4: Simplify right side
    515,929x = 552,243,683,161
  5. Step 5: Solve for x
    x = 552,243,683,161/515,929
  6. Step 6: Final answer
    x = 1,070,386.98

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.