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Finding the Third Proportional to 228,480 and 495,840

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Solution

The third proportional to 228,480 and 495,840 is: 1,076,056.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,480 : 495,840 = 495,840 : x
  2. Step 2: Convert to fraction form
    228,480/495,840 = 495,840/x
  3. Step 3: Cross multiply
    228,480x = 495,840 × 495,840
  4. Step 4: Simplify right side
    228,480x = 245,857,305,600
  5. Step 5: Solve for x
    x = 245,857,305,600/228,480
  6. Step 6: Final answer
    x = 1,076,056.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.