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Finding the Third Proportional to 538,411 and 784,248

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Solution

The third proportional to 538,411 and 784,248 is: 1,142,333.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,411 : 784,248 = 784,248 : x
  2. Step 2: Convert to fraction form
    538,411/784,248 = 784,248/x
  3. Step 3: Cross multiply
    538,411x = 784,248 × 784,248
  4. Step 4: Simplify right side
    538,411x = 615,044,925,504
  5. Step 5: Solve for x
    x = 615,044,925,504/538,411
  6. Step 6: Final answer
    x = 1,142,333.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.