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Finding the Third Proportional to 421,248 and 546,480

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Solution

The third proportional to 421,248 and 546,480 is: 708,941.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,248 : 546,480 = 546,480 : x
  2. Step 2: Convert to fraction form
    421,248/546,480 = 546,480/x
  3. Step 3: Cross multiply
    421,248x = 546,480 × 546,480
  4. Step 4: Simplify right side
    421,248x = 298,640,390,400
  5. Step 5: Solve for x
    x = 298,640,390,400/421,248
  6. Step 6: Final answer
    x = 708,941.98

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.