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Finding the Third Proportional to 288,572.63 and 626,431.22

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Solution

The third proportional to 288,572.63 and 626,431.22 is: 1,359,852.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,572.63 : 626,431.22 = 626,431.22 : x
  2. Step 2: Convert to fraction form
    288,572.63/626,431.22 = 626,431.22/x
  3. Step 3: Cross multiply
    288,572.63x = 626,431.22 × 626,431.22
  4. Step 4: Simplify right side
    288,572.63x = 392,416,071,824.61
  5. Step 5: Solve for x
    x = 392,416,071,824.61/288,572.63
  6. Step 6: Final answer
    x = 1,359,852.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.