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Finding the Third Proportional to 549,018 and 820,294

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Solution

The third proportional to 549,018 and 820,294 is: 1,225,610.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,018 : 820,294 = 820,294 : x
  2. Step 2: Convert to fraction form
    549,018/820,294 = 820,294/x
  3. Step 3: Cross multiply
    549,018x = 820,294 × 820,294
  4. Step 4: Simplify right side
    549,018x = 672,882,246,436
  5. Step 5: Solve for x
    x = 672,882,246,436/549,018
  6. Step 6: Final answer
    x = 1,225,610.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.