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Finding the Third Proportional to 304,362 and 438,402

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Solution

The third proportional to 304,362 and 438,402 is: 631,472.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,362 : 438,402 = 438,402 : x
  2. Step 2: Convert to fraction form
    304,362/438,402 = 438,402/x
  3. Step 3: Cross multiply
    304,362x = 438,402 × 438,402
  4. Step 4: Simplify right side
    304,362x = 192,196,313,604
  5. Step 5: Solve for x
    x = 192,196,313,604/304,362
  6. Step 6: Final answer
    x = 631,472.76

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.