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Finding the Third Proportional to 55,460.81 and 121,417.31

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Solution

The third proportional to 55,460.81 and 121,417.31 is: 265,812.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,460.81 : 121,417.31 = 121,417.31 : x
  2. Step 2: Convert to fraction form
    55,460.81/121,417.31 = 121,417.31/x
  3. Step 3: Cross multiply
    55,460.81x = 121,417.31 × 121,417.31
  4. Step 4: Simplify right side
    55,460.81x = 14,742,163,774.72
  5. Step 5: Solve for x
    x = 14,742,163,774.72/55,460.81
  6. Step 6: Final answer
    x = 265,812.26

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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.