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Finding the Third Proportional to 473,624 and 729,120

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Solution

The third proportional to 473,624 and 729,120 is: 1,122,443.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,624 : 729,120 = 729,120 : x
  2. Step 2: Convert to fraction form
    473,624/729,120 = 729,120/x
  3. Step 3: Cross multiply
    473,624x = 729,120 × 729,120
  4. Step 4: Simplify right side
    473,624x = 531,615,974,400
  5. Step 5: Solve for x
    x = 531,615,974,400/473,624
  6. Step 6: Final answer
    x = 1,122,443.07

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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.