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Finding the Third Proportional to 288,178 and 626,190

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Solution

The third proportional to 288,178 and 626,190 is: 1,360,665.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,178 : 626,190 = 626,190 : x
  2. Step 2: Convert to fraction form
    288,178/626,190 = 626,190/x
  3. Step 3: Cross multiply
    288,178x = 626,190 × 626,190
  4. Step 4: Simplify right side
    288,178x = 392,113,916,100
  5. Step 5: Solve for x
    x = 392,113,916,100/288,178
  6. Step 6: Final answer
    x = 1,360,665.69

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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.