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Finding the Third Proportional to 46,100 and 101,128

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Solution

The third proportional to 46,100 and 101,128 is: 221,841.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,100 : 101,128 = 101,128 : x
  2. Step 2: Convert to fraction form
    46,100/101,128 = 101,128/x
  3. Step 3: Cross multiply
    46,100x = 101,128 × 101,128
  4. Step 4: Simplify right side
    46,100x = 10,226,872,384
  5. Step 5: Solve for x
    x = 10,226,872,384/46,100
  6. Step 6: Final answer
    x = 221,841.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.