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Finding the Third Proportional to 348,888 and 553,356

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Solution

The third proportional to 348,888 and 553,356 is: 877,653.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,888 : 553,356 = 553,356 : x
  2. Step 2: Convert to fraction form
    348,888/553,356 = 553,356/x
  3. Step 3: Cross multiply
    348,888x = 553,356 × 553,356
  4. Step 4: Simplify right side
    348,888x = 306,202,862,736
  5. Step 5: Solve for x
    x = 306,202,862,736/348,888
  6. Step 6: Final answer
    x = 877,653.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.