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Finding the Third Proportional to 258,898.78 and 553,781.81

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Solution

The third proportional to 258,898.78 and 553,781.81 is: 1,184,533.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,898.78 : 553,781.81 = 553,781.81 : x
  2. Step 2: Convert to fraction form
    258,898.78/553,781.81 = 553,781.81/x
  3. Step 3: Cross multiply
    258,898.78x = 553,781.81 × 553,781.81
  4. Step 4: Simplify right side
    258,898.78x = 306,674,295,855.79
  5. Step 5: Solve for x
    x = 306,674,295,855.79/258,898.78
  6. Step 6: Final answer
    x = 1,184,533.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.