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Finding the Third Proportional to 431,272.50 and 626,824.50

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Solution

The third proportional to 431,272.50 and 626,824.50 is: 911,045.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,272.50 : 626,824.50 = 626,824.50 : x
  2. Step 2: Convert to fraction form
    431,272.50/626,824.50 = 626,824.50/x
  3. Step 3: Cross multiply
    431,272.50x = 626,824.50 × 626,824.50
  4. Step 4: Simplify right side
    431,272.50x = 392,908,953,800.25
  5. Step 5: Solve for x
    x = 392,908,953,800.25/431,272.50
  6. Step 6: Final answer
    x = 911,045.69

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.