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Finding the Third Proportional to 46,737 and 101,010

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Solution

The third proportional to 46,737 and 101,010 is: 218,307.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,737 : 101,010 = 101,010 : x
  2. Step 2: Convert to fraction form
    46,737/101,010 = 101,010/x
  3. Step 3: Cross multiply
    46,737x = 101,010 × 101,010
  4. Step 4: Simplify right side
    46,737x = 10,203,020,100
  5. Step 5: Solve for x
    x = 10,203,020,100/46,737
  6. Step 6: Final answer
    x = 218,307.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.