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Finding the Third Proportional to 710,328 and 999,216

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Solution

The third proportional to 710,328 and 999,216 is: 1,405,593.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,328 : 999,216 = 999,216 : x
  2. Step 2: Convert to fraction form
    710,328/999,216 = 999,216/x
  3. Step 3: Cross multiply
    710,328x = 999,216 × 999,216
  4. Step 4: Simplify right side
    710,328x = 998,432,614,656
  5. Step 5: Solve for x
    x = 998,432,614,656/710,328
  6. Step 6: Final answer
    x = 1,405,593.77

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.