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Finding the Third Proportional to 341,289 and 459,445

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Solution

The third proportional to 341,289 and 459,445 is: 618,507.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,289 : 459,445 = 459,445 : x
  2. Step 2: Convert to fraction form
    341,289/459,445 = 459,445/x
  3. Step 3: Cross multiply
    341,289x = 459,445 × 459,445
  4. Step 4: Simplify right side
    341,289x = 211,089,708,025
  5. Step 5: Solve for x
    x = 211,089,708,025/341,289
  6. Step 6: Final answer
    x = 618,507.21

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.