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Finding the Third Proportional to 729,216 and 1,119,360

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Solution

The third proportional to 729,216 and 1,119,360 is: 1,718,238.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,216 : 1,119,360 = 1,119,360 : x
  2. Step 2: Convert to fraction form
    729,216/1,119,360 = 1,119,360/x
  3. Step 3: Cross multiply
    729,216x = 1,119,360 × 1,119,360
  4. Step 4: Simplify right side
    729,216x = 1,252,966,809,600
  5. Step 5: Solve for x
    x = 1,252,966,809,600/729,216
  6. Step 6: Final answer
    x = 1,718,238.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.