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Finding the Third Proportional to 129,430 and 302,294

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Solution

The third proportional to 129,430 and 302,294 is: 706,031.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,430 : 302,294 = 302,294 : x
  2. Step 2: Convert to fraction form
    129,430/302,294 = 302,294/x
  3. Step 3: Cross multiply
    129,430x = 302,294 × 302,294
  4. Step 4: Simplify right side
    129,430x = 91,381,662,436
  5. Step 5: Solve for x
    x = 91,381,662,436/129,430
  6. Step 6: Final answer
    x = 706,031.54

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.