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Finding the Third Proportional to 260,316 and 393,750

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Solution

The third proportional to 260,316 and 393,750 is: 595,580.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,316 : 393,750 = 393,750 : x
  2. Step 2: Convert to fraction form
    260,316/393,750 = 393,750/x
  3. Step 3: Cross multiply
    260,316x = 393,750 × 393,750
  4. Step 4: Simplify right side
    260,316x = 155,039,062,500
  5. Step 5: Solve for x
    x = 155,039,062,500/260,316
  6. Step 6: Final answer
    x = 595,580.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.