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Finding the Third Proportional to 200,341 and 310,069.50

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Solution

The third proportional to 200,341 and 310,069.50 is: 479,897.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,341 : 310,069.50 = 310,069.50 : x
  2. Step 2: Convert to fraction form
    200,341/310,069.50 = 310,069.50/x
  3. Step 3: Cross multiply
    200,341x = 310,069.50 × 310,069.50
  4. Step 4: Simplify right side
    200,341x = 96,143,094,830.25
  5. Step 5: Solve for x
    x = 96,143,094,830.25/200,341
  6. Step 6: Final answer
    x = 479,897.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.