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Finding the Third Proportional to 135,416 and 293,430

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Solution

The third proportional to 135,416 and 293,430 is: 635,827.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,416 : 293,430 = 293,430 : x
  2. Step 2: Convert to fraction form
    135,416/293,430 = 293,430/x
  3. Step 3: Cross multiply
    135,416x = 293,430 × 293,430
  4. Step 4: Simplify right side
    135,416x = 86,101,164,900
  5. Step 5: Solve for x
    x = 86,101,164,900/135,416
  6. Step 6: Final answer
    x = 635,827.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.