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Finding the Third Proportional to 205,140.09 and 310,541.34

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Solution

The third proportional to 205,140.09 and 310,541.34 is: 470,097.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,140.09 : 310,541.34 = 310,541.34 : x
  2. Step 2: Convert to fraction form
    205,140.09/310,541.34 = 310,541.34/x
  3. Step 3: Cross multiply
    205,140.09x = 310,541.34 × 310,541.34
  4. Step 4: Simplify right side
    205,140.09x = 96,435,926,178.06
  5. Step 5: Solve for x
    x = 96,435,926,178.06/205,140.09
  6. Step 6: Final answer
    x = 470,097.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.