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Finding the Third Proportional to 105,389 and 160,709

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Solution

The third proportional to 105,389 and 160,709 is: 245,067.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,389 : 160,709 = 160,709 : x
  2. Step 2: Convert to fraction form
    105,389/160,709 = 160,709/x
  3. Step 3: Cross multiply
    105,389x = 160,709 × 160,709
  4. Step 4: Simplify right side
    105,389x = 25,827,382,681
  5. Step 5: Solve for x
    x = 25,827,382,681/105,389
  6. Step 6: Final answer
    x = 245,067.16

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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.