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Finding the Third Proportional to 342,470 and 537,215

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Solution

The third proportional to 342,470 and 537,215 is: 842,701.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,470 : 537,215 = 537,215 : x
  2. Step 2: Convert to fraction form
    342,470/537,215 = 537,215/x
  3. Step 3: Cross multiply
    342,470x = 537,215 × 537,215
  4. Step 4: Simplify right side
    342,470x = 288,599,956,225
  5. Step 5: Solve for x
    x = 288,599,956,225/342,470
  6. Step 6: Final answer
    x = 842,701.42

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.