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Finding the Third Proportional to 285,360 and 624,864

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Solution

The third proportional to 285,360 and 624,864 is: 1,368,289.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,360 : 624,864 = 624,864 : x
  2. Step 2: Convert to fraction form
    285,360/624,864 = 624,864/x
  3. Step 3: Cross multiply
    285,360x = 624,864 × 624,864
  4. Step 4: Simplify right side
    285,360x = 390,455,018,496
  5. Step 5: Solve for x
    x = 390,455,018,496/285,360
  6. Step 6: Final answer
    x = 1,368,289.24

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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.