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Finding the Third Proportional to 277,803 and 428,242.50

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Solution

The third proportional to 277,803 and 428,242.50 is: 660,149.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,803 : 428,242.50 = 428,242.50 : x
  2. Step 2: Convert to fraction form
    277,803/428,242.50 = 428,242.50/x
  3. Step 3: Cross multiply
    277,803x = 428,242.50 × 428,242.50
  4. Step 4: Simplify right side
    277,803x = 183,391,638,806.25
  5. Step 5: Solve for x
    x = 183,391,638,806.25/277,803
  6. Step 6: Final answer
    x = 660,149.96

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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.