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Finding the Third Proportional to 109,386 and 168,746.25

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Solution

The third proportional to 109,386 and 168,746.25 is: 260,319.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,386 : 168,746.25 = 168,746.25 : x
  2. Step 2: Convert to fraction form
    109,386/168,746.25 = 168,746.25/x
  3. Step 3: Cross multiply
    109,386x = 168,746.25 × 168,746.25
  4. Step 4: Simplify right side
    109,386x = 28,475,296,889.06
  5. Step 5: Solve for x
    x = 28,475,296,889.06/109,386
  6. Step 6: Final answer
    x = 260,319.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.