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Finding the Third Proportional to 302,424 and 659,280

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Solution

The third proportional to 302,424 and 659,280 is: 1,437,220.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,424 : 659,280 = 659,280 : x
  2. Step 2: Convert to fraction form
    302,424/659,280 = 659,280/x
  3. Step 3: Cross multiply
    302,424x = 659,280 × 659,280
  4. Step 4: Simplify right side
    302,424x = 434,650,118,400
  5. Step 5: Solve for x
    x = 434,650,118,400/302,424
  6. Step 6: Final answer
    x = 1,437,220.98

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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.