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Finding the Third Proportional to 342,474 and 537,221

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Solution

The third proportional to 342,474 and 537,221 is: 842,710.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,474 : 537,221 = 537,221 : x
  2. Step 2: Convert to fraction form
    342,474/537,221 = 537,221/x
  3. Step 3: Cross multiply
    342,474x = 537,221 × 537,221
  4. Step 4: Simplify right side
    342,474x = 288,606,402,841
  5. Step 5: Solve for x
    x = 288,606,402,841/342,474
  6. Step 6: Final answer
    x = 842,710.40

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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.