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Finding the Third Proportional to 277,881 and 430,549.50

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Solution

The third proportional to 277,881 and 430,549.50 is: 667,094.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,881 : 430,549.50 = 430,549.50 : x
  2. Step 2: Convert to fraction form
    277,881/430,549.50 = 430,549.50/x
  3. Step 3: Cross multiply
    277,881x = 430,549.50 × 430,549.50
  4. Step 4: Simplify right side
    277,881x = 185,372,871,950.25
  5. Step 5: Solve for x
    x = 185,372,871,950.25/277,881
  6. Step 6: Final answer
    x = 667,094.45

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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.