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Finding the Third Proportional to 430,492.50 and 670,342.50

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Solution

The third proportional to 430,492.50 and 670,342.50 is: 1,043,825.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,492.50 : 670,342.50 = 670,342.50 : x
  2. Step 2: Convert to fraction form
    430,492.50/670,342.50 = 670,342.50/x
  3. Step 3: Cross multiply
    430,492.50x = 670,342.50 × 670,342.50
  4. Step 4: Simplify right side
    430,492.50x = 449,359,067,306.25
  5. Step 5: Solve for x
    x = 449,359,067,306.25/430,492.50
  6. Step 6: Final answer
    x = 1,043,825.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.