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Finding the Third Proportional to 243,303 and 387,438

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Solution

The third proportional to 243,303 and 387,438 is: 616,959.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,303 : 387,438 = 387,438 : x
  2. Step 2: Convert to fraction form
    243,303/387,438 = 387,438/x
  3. Step 3: Cross multiply
    243,303x = 387,438 × 387,438
  4. Step 4: Simplify right side
    243,303x = 150,108,203,844
  5. Step 5: Solve for x
    x = 150,108,203,844/243,303
  6. Step 6: Final answer
    x = 616,959.94

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.