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Finding the Third Proportional to 145,807 and 303,248

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Solution

The third proportional to 145,807 and 303,248 is: 630,692.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,807 : 303,248 = 303,248 : x
  2. Step 2: Convert to fraction form
    145,807/303,248 = 303,248/x
  3. Step 3: Cross multiply
    145,807x = 303,248 × 303,248
  4. Step 4: Simplify right side
    145,807x = 91,959,349,504
  5. Step 5: Solve for x
    x = 91,959,349,504/145,807
  6. Step 6: Final answer
    x = 630,692.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.