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Finding the Third Proportional to 310,460.50 and 455,469

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Solution

The third proportional to 310,460.50 and 455,469 is: 668,207.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,460.50 : 455,469 = 455,469 : x
  2. Step 2: Convert to fraction form
    310,460.50/455,469 = 455,469/x
  3. Step 3: Cross multiply
    310,460.50x = 455,469 × 455,469
  4. Step 4: Simplify right side
    310,460.50x = 207,452,009,961
  5. Step 5: Solve for x
    x = 207,452,009,961/310,460.50
  6. Step 6: Final answer
    x = 668,207.42

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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.