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Finding the Third Proportional to 389,216 and 842,403

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Solution

The third proportional to 389,216 and 842,403 is: 1,823,262.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,216 : 842,403 = 842,403 : x
  2. Step 2: Convert to fraction form
    389,216/842,403 = 842,403/x
  3. Step 3: Cross multiply
    389,216x = 842,403 × 842,403
  4. Step 4: Simplify right side
    389,216x = 709,642,814,409
  5. Step 5: Solve for x
    x = 709,642,814,409/389,216
  6. Step 6: Final answer
    x = 1,823,262.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.