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Finding the Third Proportional to 145,368 and 321,824

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Solution

The third proportional to 145,368 and 321,824 is: 712,472.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,368 : 321,824 = 321,824 : x
  2. Step 2: Convert to fraction form
    145,368/321,824 = 321,824/x
  3. Step 3: Cross multiply
    145,368x = 321,824 × 321,824
  4. Step 4: Simplify right side
    145,368x = 103,570,686,976
  5. Step 5: Solve for x
    x = 103,570,686,976/145,368
  6. Step 6: Final answer
    x = 712,472.39

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.