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Finding the Third Proportional to 407,018 and 598,331

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Solution

The third proportional to 407,018 and 598,331 is: 879,567.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,018 : 598,331 = 598,331 : x
  2. Step 2: Convert to fraction form
    407,018/598,331 = 598,331/x
  3. Step 3: Cross multiply
    407,018x = 598,331 × 598,331
  4. Step 4: Simplify right side
    407,018x = 357,999,985,561
  5. Step 5: Solve for x
    x = 357,999,985,561/407,018
  6. Step 6: Final answer
    x = 879,567.94

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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.