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Finding the Third Proportional to 345,324 and 535,920

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Solution

The third proportional to 345,324 and 535,920 is: 831,712.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,324 : 535,920 = 535,920 : x
  2. Step 2: Convert to fraction form
    345,324/535,920 = 535,920/x
  3. Step 3: Cross multiply
    345,324x = 535,920 × 535,920
  4. Step 4: Simplify right side
    345,324x = 287,210,246,400
  5. Step 5: Solve for x
    x = 287,210,246,400/345,324
  6. Step 6: Final answer
    x = 831,712.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.