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Finding the Third Proportional to 199,878 and 307,535

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Solution

The third proportional to 199,878 and 307,535 is: 473,177.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,878 : 307,535 = 307,535 : x
  2. Step 2: Convert to fraction form
    199,878/307,535 = 307,535/x
  3. Step 3: Cross multiply
    199,878x = 307,535 × 307,535
  4. Step 4: Simplify right side
    199,878x = 94,577,776,225
  5. Step 5: Solve for x
    x = 94,577,776,225/199,878
  6. Step 6: Final answer
    x = 473,177.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.