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Finding the Third Proportional to 281,670.50 and 626,309

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Solution

The third proportional to 281,670.50 and 626,309 is: 1,392,630.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,670.50 : 626,309 = 626,309 : x
  2. Step 2: Convert to fraction form
    281,670.50/626,309 = 626,309/x
  3. Step 3: Cross multiply
    281,670.50x = 626,309 × 626,309
  4. Step 4: Simplify right side
    281,670.50x = 392,262,963,481
  5. Step 5: Solve for x
    x = 392,262,963,481/281,670.50
  6. Step 6: Final answer
    x = 1,392,630.62

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.