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Finding the Third Proportional to 207,306 and 429,372

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Solution

The third proportional to 207,306 and 429,372 is: 889,314.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,306 : 429,372 = 429,372 : x
  2. Step 2: Convert to fraction form
    207,306/429,372 = 429,372/x
  3. Step 3: Cross multiply
    207,306x = 429,372 × 429,372
  4. Step 4: Simplify right side
    207,306x = 184,360,314,384
  5. Step 5: Solve for x
    x = 184,360,314,384/207,306
  6. Step 6: Final answer
    x = 889,314.90

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.