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Finding the Third Proportional to 246,428 and 358,156

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Solution

The third proportional to 246,428 and 358,156 is: 520,540.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,428 : 358,156 = 358,156 : x
  2. Step 2: Convert to fraction form
    246,428/358,156 = 358,156/x
  3. Step 3: Cross multiply
    246,428x = 358,156 × 358,156
  4. Step 4: Simplify right side
    246,428x = 128,275,720,336
  5. Step 5: Solve for x
    x = 128,275,720,336/246,428
  6. Step 6: Final answer
    x = 520,540.36

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.