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Finding the Third Proportional to 277,248 and 540,480

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Solution

The third proportional to 277,248 and 540,480 is: 1,053,636.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,248 : 540,480 = 540,480 : x
  2. Step 2: Convert to fraction form
    277,248/540,480 = 540,480/x
  3. Step 3: Cross multiply
    277,248x = 540,480 × 540,480
  4. Step 4: Simplify right side
    277,248x = 292,118,630,400
  5. Step 5: Solve for x
    x = 292,118,630,400/277,248
  6. Step 6: Final answer
    x = 1,053,636.57

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.