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Finding the Third Proportional to 340,798 and 515,971

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Solution

The third proportional to 340,798 and 515,971 is: 781,184.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,798 : 515,971 = 515,971 : x
  2. Step 2: Convert to fraction form
    340,798/515,971 = 515,971/x
  3. Step 3: Cross multiply
    340,798x = 515,971 × 515,971
  4. Step 4: Simplify right side
    340,798x = 266,226,072,841
  5. Step 5: Solve for x
    x = 266,226,072,841/340,798
  6. Step 6: Final answer
    x = 781,184.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.