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Finding the Third Proportional to 33,547 and 53,053.75

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Solution

The third proportional to 33,547 and 53,053.75 is: 83,903.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,547 : 53,053.75 = 53,053.75 : x
  2. Step 2: Convert to fraction form
    33,547/53,053.75 = 53,053.75/x
  3. Step 3: Cross multiply
    33,547x = 53,053.75 × 53,053.75
  4. Step 4: Simplify right side
    33,547x = 2,814,700,389.06
  5. Step 5: Solve for x
    x = 2,814,700,389.06/33,547
  6. Step 6: Final answer
    x = 83,903.19

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.