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Finding the Third Proportional to 306,532.50 and 455,422.50

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Solution

The third proportional to 306,532.50 and 455,422.50 is: 676,631.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,532.50 : 455,422.50 = 455,422.50 : x
  2. Step 2: Convert to fraction form
    306,532.50/455,422.50 = 455,422.50/x
  3. Step 3: Cross multiply
    306,532.50x = 455,422.50 × 455,422.50
  4. Step 4: Simplify right side
    306,532.50x = 207,409,653,506.25
  5. Step 5: Solve for x
    x = 207,409,653,506.25/306,532.50
  6. Step 6: Final answer
    x = 676,631.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.