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Finding the Third Proportional to 4,547.81 and 9,812.81

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Solution

The third proportional to 4,547.81 and 9,812.81 is: 21,173.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.81 : 9,812.81 = 9,812.81 : x
  2. Step 2: Convert to fraction form
    4,547.81/9,812.81 = 9,812.81/x
  3. Step 3: Cross multiply
    4,547.81x = 9,812.81 × 9,812.81
  4. Step 4: Simplify right side
    4,547.81x = 96,291,289.16
  5. Step 5: Solve for x
    x = 96,291,289.16/4,547.81
  6. Step 6: Final answer
    x = 21,173.10

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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.