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Finding the Third Proportional to 410,780 and 549,453

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Solution

The third proportional to 410,780 and 549,453 is: 734,939.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,780 : 549,453 = 549,453 : x
  2. Step 2: Convert to fraction form
    410,780/549,453 = 549,453/x
  3. Step 3: Cross multiply
    410,780x = 549,453 × 549,453
  4. Step 4: Simplify right side
    410,780x = 301,898,599,209
  5. Step 5: Solve for x
    x = 301,898,599,209/410,780
  6. Step 6: Final answer
    x = 734,939.87

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.