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Finding the Third Proportional to 288,389 and 430,194

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Solution

The third proportional to 288,389 and 430,194 is: 641,726.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,389 : 430,194 = 430,194 : x
  2. Step 2: Convert to fraction form
    288,389/430,194 = 430,194/x
  3. Step 3: Cross multiply
    288,389x = 430,194 × 430,194
  4. Step 4: Simplify right side
    288,389x = 185,066,877,636
  5. Step 5: Solve for x
    x = 185,066,877,636/288,389
  6. Step 6: Final answer
    x = 641,726.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.