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Finding the Third Proportional to 407,030 and 598,351

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Solution

The third proportional to 407,030 and 598,351 is: 879,600.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,030 : 598,351 = 598,351 : x
  2. Step 2: Convert to fraction form
    407,030/598,351 = 598,351/x
  3. Step 3: Cross multiply
    407,030x = 598,351 × 598,351
  4. Step 4: Simplify right side
    407,030x = 358,023,919,201
  5. Step 5: Solve for x
    x = 358,023,919,201/407,030
  6. Step 6: Final answer
    x = 879,600.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.