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Finding the Third Proportional to 458,208 and 669,168

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Solution

The third proportional to 458,208 and 669,168 is: 977,254.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,208 : 669,168 = 669,168 : x
  2. Step 2: Convert to fraction form
    458,208/669,168 = 669,168/x
  3. Step 3: Cross multiply
    458,208x = 669,168 × 669,168
  4. Step 4: Simplify right side
    458,208x = 447,785,812,224
  5. Step 5: Solve for x
    x = 447,785,812,224/458,208
  6. Step 6: Final answer
    x = 977,254.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.