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Finding the Third Proportional to 492,480 and 668,520

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Solution

The third proportional to 492,480 and 668,520 is: 907,486.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,480 : 668,520 = 668,520 : x
  2. Step 2: Convert to fraction form
    492,480/668,520 = 668,520/x
  3. Step 3: Cross multiply
    492,480x = 668,520 × 668,520
  4. Step 4: Simplify right side
    492,480x = 446,918,990,400
  5. Step 5: Solve for x
    x = 446,918,990,400/492,480
  6. Step 6: Final answer
    x = 907,486.58

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.