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Finding the Third Proportional to 64,688 and 98,128

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Solution

The third proportional to 64,688 and 98,128 is: 148,854.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,688 : 98,128 = 98,128 : x
  2. Step 2: Convert to fraction form
    64,688/98,128 = 98,128/x
  3. Step 3: Cross multiply
    64,688x = 98,128 × 98,128
  4. Step 4: Simplify right side
    64,688x = 9,629,104,384
  5. Step 5: Solve for x
    x = 9,629,104,384/64,688
  6. Step 6: Final answer
    x = 148,854.57

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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.