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Finding the Third Proportional to 258,864 and 553,719

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Solution

The third proportional to 258,864 and 553,719 is: 1,184,423.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,864 : 553,719 = 553,719 : x
  2. Step 2: Convert to fraction form
    258,864/553,719 = 553,719/x
  3. Step 3: Cross multiply
    258,864x = 553,719 × 553,719
  4. Step 4: Simplify right side
    258,864x = 306,604,730,961
  5. Step 5: Solve for x
    x = 306,604,730,961/258,864
  6. Step 6: Final answer
    x = 1,184,423.99

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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.