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Finding the Third Proportional to 243,273 and 387,394.50

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Solution

The third proportional to 243,273 and 387,394.50 is: 616,897.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,273 : 387,394.50 = 387,394.50 : x
  2. Step 2: Convert to fraction form
    243,273/387,394.50 = 387,394.50/x
  3. Step 3: Cross multiply
    243,273x = 387,394.50 × 387,394.50
  4. Step 4: Simplify right side
    243,273x = 150,074,498,630.25
  5. Step 5: Solve for x
    x = 150,074,498,630.25/243,273
  6. Step 6: Final answer
    x = 616,897.47

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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.