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Finding the Third Proportional to 10,475 and 22,590.25

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Solution

The third proportional to 10,475 and 22,590.25 is: 48,717.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,475 : 22,590.25 = 22,590.25 : x
  2. Step 2: Convert to fraction form
    10,475/22,590.25 = 22,590.25/x
  3. Step 3: Cross multiply
    10,475x = 22,590.25 × 22,590.25
  4. Step 4: Simplify right side
    10,475x = 510,319,395.06
  5. Step 5: Solve for x
    x = 510,319,395.06/10,475
  6. Step 6: Final answer
    x = 48,717.84

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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.