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Finding the Third Proportional to 261,821 and 402,937.50

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Solution

The third proportional to 261,821 and 402,937.50 is: 620,113.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,821 : 402,937.50 = 402,937.50 : x
  2. Step 2: Convert to fraction form
    261,821/402,937.50 = 402,937.50/x
  3. Step 3: Cross multiply
    261,821x = 402,937.50 × 402,937.50
  4. Step 4: Simplify right side
    261,821x = 162,358,628,906.25
  5. Step 5: Solve for x
    x = 162,358,628,906.25/261,821
  6. Step 6: Final answer
    x = 620,113.09

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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.