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Finding the Third Proportional to 10,445.63 and 23,230.13

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Solution

The third proportional to 10,445.63 and 23,230.13 is: 51,661.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,445.63 : 23,230.13 = 23,230.13 : x
  2. Step 2: Convert to fraction form
    10,445.63/23,230.13 = 23,230.13/x
  3. Step 3: Cross multiply
    10,445.63x = 23,230.13 × 23,230.13
  4. Step 4: Simplify right side
    10,445.63x = 539,638,707.52
  5. Step 5: Solve for x
    x = 539,638,707.52/10,445.63
  6. Step 6: Final answer
    x = 51,661.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.