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Finding the Third Proportional to 10,386 and 22,790.25

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Solution

The third proportional to 10,386 and 22,790.25 is: 50,009.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,386 : 22,790.25 = 22,790.25 : x
  2. Step 2: Convert to fraction form
    10,386/22,790.25 = 22,790.25/x
  3. Step 3: Cross multiply
    10,386x = 22,790.25 × 22,790.25
  4. Step 4: Simplify right side
    10,386x = 519,395,495.06
  5. Step 5: Solve for x
    x = 519,395,495.06/10,386
  6. Step 6: Final answer
    x = 50,009.19

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1.5x scale

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.