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Finding the Third Proportional to 407,021 and 598,336

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Solution

The third proportional to 407,021 and 598,336 is: 879,576.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,021 : 598,336 = 598,336 : x
  2. Step 2: Convert to fraction form
    407,021/598,336 = 598,336/x
  3. Step 3: Cross multiply
    407,021x = 598,336 × 598,336
  4. Step 4: Simplify right side
    407,021x = 358,005,968,896
  5. Step 5: Solve for x
    x = 358,005,968,896/407,021
  6. Step 6: Final answer
    x = 879,576.16

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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.