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Finding the Third Proportional to 549,939 and 830,439

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Solution

The third proportional to 549,939 and 830,439 is: 1,254,009.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,939 : 830,439 = 830,439 : x
  2. Step 2: Convert to fraction form
    549,939/830,439 = 830,439/x
  3. Step 3: Cross multiply
    549,939x = 830,439 × 830,439
  4. Step 4: Simplify right side
    549,939x = 689,628,932,721
  5. Step 5: Solve for x
    x = 689,628,932,721/549,939
  6. Step 6: Final answer
    x = 1,254,009.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.