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Finding the Third Proportional to 340,938 and 717,111

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Solution

The third proportional to 340,938 and 717,111 is: 1,508,333.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,938 : 717,111 = 717,111 : x
  2. Step 2: Convert to fraction form
    340,938/717,111 = 717,111/x
  3. Step 3: Cross multiply
    340,938x = 717,111 × 717,111
  4. Step 4: Simplify right side
    340,938x = 514,248,186,321
  5. Step 5: Solve for x
    x = 514,248,186,321/340,938
  6. Step 6: Final answer
    x = 1,508,333.44

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.