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Finding the Third Proportional to 306,218 and 450,575

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Solution

The third proportional to 306,218 and 450,575 is: 662,984.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,218 : 450,575 = 450,575 : x
  2. Step 2: Convert to fraction form
    306,218/450,575 = 450,575/x
  3. Step 3: Cross multiply
    306,218x = 450,575 × 450,575
  4. Step 4: Simplify right side
    306,218x = 203,017,830,625
  5. Step 5: Solve for x
    x = 203,017,830,625/306,218
  6. Step 6: Final answer
    x = 662,984.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.