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Finding the Third Proportional to 248,574 and 388,854

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Solution

The third proportional to 248,574 and 388,854 is: 608,299.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,574 : 388,854 = 388,854 : x
  2. Step 2: Convert to fraction form
    248,574/388,854 = 388,854/x
  3. Step 3: Cross multiply
    248,574x = 388,854 × 388,854
  4. Step 4: Simplify right side
    248,574x = 151,207,433,316
  5. Step 5: Solve for x
    x = 151,207,433,316/248,574
  6. Step 6: Final answer
    x = 608,299.47

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.