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Finding the Third Proportional to 687,912 and 1,042,254

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Solution

The third proportional to 687,912 and 1,042,254 is: 1,579,116.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,912 : 1,042,254 = 1,042,254 : x
  2. Step 2: Convert to fraction form
    687,912/1,042,254 = 1,042,254/x
  3. Step 3: Cross multiply
    687,912x = 1,042,254 × 1,042,254
  4. Step 4: Simplify right side
    687,912x = 1,086,293,400,516
  5. Step 5: Solve for x
    x = 1,086,293,400,516/687,912
  6. Step 6: Final answer
    x = 1,579,116.81

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.