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Finding the Third Proportional to 69,314 and 105,430

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Solution

The third proportional to 69,314 and 105,430 is: 160,364.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,314 : 105,430 = 105,430 : x
  2. Step 2: Convert to fraction form
    69,314/105,430 = 105,430/x
  3. Step 3: Cross multiply
    69,314x = 105,430 × 105,430
  4. Step 4: Simplify right side
    69,314x = 11,115,484,900
  5. Step 5: Solve for x
    x = 11,115,484,900/69,314
  6. Step 6: Final answer
    x = 160,364.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.