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Finding the Third Proportional to 302,850 and 455,003

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Solution

The third proportional to 302,850 and 455,003 is: 683,598.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,850 : 455,003 = 455,003 : x
  2. Step 2: Convert to fraction form
    302,850/455,003 = 455,003/x
  3. Step 3: Cross multiply
    302,850x = 455,003 × 455,003
  4. Step 4: Simplify right side
    302,850x = 207,027,730,009
  5. Step 5: Solve for x
    x = 207,027,730,009/302,850
  6. Step 6: Final answer
    x = 683,598.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.