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Finding the Third Proportional to 280,768 and 458,420

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Solution

The third proportional to 280,768 and 458,420 is: 748,478.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,768 : 458,420 = 458,420 : x
  2. Step 2: Convert to fraction form
    280,768/458,420 = 458,420/x
  3. Step 3: Cross multiply
    280,768x = 458,420 × 458,420
  4. Step 4: Simplify right side
    280,768x = 210,148,896,400
  5. Step 5: Solve for x
    x = 210,148,896,400/280,768
  6. Step 6: Final answer
    x = 748,478.80

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.