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Finding the Third Proportional to 258,720 and 392,452.50

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Solution

The third proportional to 258,720 and 392,452.50 is: 595,311.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,720 : 392,452.50 = 392,452.50 : x
  2. Step 2: Convert to fraction form
    258,720/392,452.50 = 392,452.50/x
  3. Step 3: Cross multiply
    258,720x = 392,452.50 × 392,452.50
  4. Step 4: Simplify right side
    258,720x = 154,018,964,756.25
  5. Step 5: Solve for x
    x = 154,018,964,756.25/258,720
  6. Step 6: Final answer
    x = 595,311.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.