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Finding the Third Proportional to 781,512 and 1,702,992

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Solution

The third proportional to 781,512 and 1,702,992 is: 3,710,988.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,512 : 1,702,992 = 1,702,992 : x
  2. Step 2: Convert to fraction form
    781,512/1,702,992 = 1,702,992/x
  3. Step 3: Cross multiply
    781,512x = 1,702,992 × 1,702,992
  4. Step 4: Simplify right side
    781,512x = 2,900,181,752,064
  5. Step 5: Solve for x
    x = 2,900,181,752,064/781,512
  6. Step 6: Final answer
    x = 3,710,988.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.