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Finding the Third Proportional to 296,703 and 438,534

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Solution

The third proportional to 296,703 and 438,534 is: 648,163.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,703 : 438,534 = 438,534 : x
  2. Step 2: Convert to fraction form
    296,703/438,534 = 438,534/x
  3. Step 3: Cross multiply
    296,703x = 438,534 × 438,534
  4. Step 4: Simplify right side
    296,703x = 192,312,069,156
  5. Step 5: Solve for x
    x = 192,312,069,156/296,703
  6. Step 6: Final answer
    x = 648,163.55

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.