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Finding the Third Proportional to 379,410 and 549,531

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Solution

The third proportional to 379,410 and 549,531 is: 795,931.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,410 : 549,531 = 549,531 : x
  2. Step 2: Convert to fraction form
    379,410/549,531 = 549,531/x
  3. Step 3: Cross multiply
    379,410x = 549,531 × 549,531
  4. Step 4: Simplify right side
    379,410x = 301,984,319,961
  5. Step 5: Solve for x
    x = 301,984,319,961/379,410
  6. Step 6: Final answer
    x = 795,931.37

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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.