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Finding the Third Proportional to 169,495 and 256,430

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Solution

The third proportional to 169,495 and 256,430 is: 387,954.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,495 : 256,430 = 256,430 : x
  2. Step 2: Convert to fraction form
    169,495/256,430 = 256,430/x
  3. Step 3: Cross multiply
    169,495x = 256,430 × 256,430
  4. Step 4: Simplify right side
    169,495x = 65,756,344,900
  5. Step 5: Solve for x
    x = 65,756,344,900/169,495
  6. Step 6: Final answer
    x = 387,954.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.