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Finding the Third Proportional to 291,278 and 439,590

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Solution

The third proportional to 291,278 and 439,590 is: 663,419.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,278 : 439,590 = 439,590 : x
  2. Step 2: Convert to fraction form
    291,278/439,590 = 439,590/x
  3. Step 3: Cross multiply
    291,278x = 439,590 × 439,590
  4. Step 4: Simplify right side
    291,278x = 193,239,368,100
  5. Step 5: Solve for x
    x = 193,239,368,100/291,278
  6. Step 6: Final answer
    x = 663,419.03

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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.