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Finding the Third Proportional to 407,009 and 598,319

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Solution

The third proportional to 407,009 and 598,319 is: 879,552.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,009 : 598,319 = 598,319 : x
  2. Step 2: Convert to fraction form
    407,009/598,319 = 598,319/x
  3. Step 3: Cross multiply
    407,009x = 598,319 × 598,319
  4. Step 4: Simplify right side
    407,009x = 357,985,625,761
  5. Step 5: Solve for x
    x = 357,985,625,761/407,009
  6. Step 6: Final answer
    x = 879,552.11

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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.