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Finding the Third Proportional to 195,432.75 and 309,710.25

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Solution

The third proportional to 195,432.75 and 309,710.25 is: 490,810.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,432.75 : 309,710.25 = 309,710.25 : x
  2. Step 2: Convert to fraction form
    195,432.75/309,710.25 = 309,710.25/x
  3. Step 3: Cross multiply
    195,432.75x = 309,710.25 × 309,710.25
  4. Step 4: Simplify right side
    195,432.75x = 95,920,438,955.06
  5. Step 5: Solve for x
    x = 95,920,438,955.06/195,432.75
  6. Step 6: Final answer
    x = 490,810.47

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.