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Finding the Third Proportional to 65,210.63 and 137,426.63

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Solution

The third proportional to 65,210.63 and 137,426.63 is: 289,616.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,210.63 : 137,426.63 = 137,426.63 : x
  2. Step 2: Convert to fraction form
    65,210.63/137,426.63 = 137,426.63/x
  3. Step 3: Cross multiply
    65,210.63x = 137,426.63 × 137,426.63
  4. Step 4: Simplify right side
    65,210.63x = 18,886,077,258.89
  5. Step 5: Solve for x
    x = 18,886,077,258.89/65,210.63
  6. Step 6: Final answer
    x = 289,616.57

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.