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Finding the Third Proportional to 207,312 and 429,384

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Solution

The third proportional to 207,312 and 429,384 is: 889,338.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,312 : 429,384 = 429,384 : x
  2. Step 2: Convert to fraction form
    207,312/429,384 = 429,384/x
  3. Step 3: Cross multiply
    207,312x = 429,384 × 429,384
  4. Step 4: Simplify right side
    207,312x = 184,370,619,456
  5. Step 5: Solve for x
    x = 184,370,619,456/207,312
  6. Step 6: Final answer
    x = 889,338.87

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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.