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Finding the Third Proportional to 255,272.50 and 392,446.50

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Solution

The third proportional to 255,272.50 and 392,446.50 is: 603,332.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,272.50 : 392,446.50 = 392,446.50 : x
  2. Step 2: Convert to fraction form
    255,272.50/392,446.50 = 392,446.50/x
  3. Step 3: Cross multiply
    255,272.50x = 392,446.50 × 392,446.50
  4. Step 4: Simplify right side
    255,272.50x = 154,014,255,362.25
  5. Step 5: Solve for x
    x = 154,014,255,362.25/255,272.50
  6. Step 6: Final answer
    x = 603,332.73

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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.