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Finding the Third Proportional to 312,888 and 448,368

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Solution

The third proportional to 312,888 and 448,368 is: 642,510.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,888 : 448,368 = 448,368 : x
  2. Step 2: Convert to fraction form
    312,888/448,368 = 448,368/x
  3. Step 3: Cross multiply
    312,888x = 448,368 × 448,368
  4. Step 4: Simplify right side
    312,888x = 201,033,863,424
  5. Step 5: Solve for x
    x = 201,033,863,424/312,888
  6. Step 6: Final answer
    x = 642,510.62

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.