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Finding the Third Proportional to 261,820.50 and 402,937

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Solution

The third proportional to 261,820.50 and 402,937 is: 620,112.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,820.50 : 402,937 = 402,937 : x
  2. Step 2: Convert to fraction form
    261,820.50/402,937 = 402,937/x
  3. Step 3: Cross multiply
    261,820.50x = 402,937 × 402,937
  4. Step 4: Simplify right side
    261,820.50x = 162,358,225,969
  5. Step 5: Solve for x
    x = 162,358,225,969/261,820.50
  6. Step 6: Final answer
    x = 620,112.73

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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.