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Finding the Third Proportional to 207,308 and 429,376

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Solution

The third proportional to 207,308 and 429,376 is: 889,322.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,308 : 429,376 = 429,376 : x
  2. Step 2: Convert to fraction form
    207,308/429,376 = 429,376/x
  3. Step 3: Cross multiply
    207,308x = 429,376 × 429,376
  4. Step 4: Simplify right side
    207,308x = 184,363,749,376
  5. Step 5: Solve for x
    x = 184,363,749,376/207,308
  6. Step 6: Final answer
    x = 889,322.89

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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.