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Finding the Third Proportional to 280,416 and 611,580

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Solution

The third proportional to 280,416 and 611,580 is: 1,333,840.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,416 : 611,580 = 611,580 : x
  2. Step 2: Convert to fraction form
    280,416/611,580 = 611,580/x
  3. Step 3: Cross multiply
    280,416x = 611,580 × 611,580
  4. Step 4: Simplify right side
    280,416x = 374,030,096,400
  5. Step 5: Solve for x
    x = 374,030,096,400/280,416
  6. Step 6: Final answer
    x = 1,333,840.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.