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Finding the Third Proportional to 248,438 and 387,417

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Solution

The third proportional to 248,438 and 387,417 is: 604,142.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,438 : 387,417 = 387,417 : x
  2. Step 2: Convert to fraction form
    248,438/387,417 = 387,417/x
  3. Step 3: Cross multiply
    248,438x = 387,417 × 387,417
  4. Step 4: Simplify right side
    248,438x = 150,091,931,889
  5. Step 5: Solve for x
    x = 150,091,931,889/248,438
  6. Step 6: Final answer
    x = 604,142.41

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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.