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Finding the Third Proportional to 299,205 and 437,235

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Solution

The third proportional to 299,205 and 437,235 is: 638,941.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,205 : 437,235 = 437,235 : x
  2. Step 2: Convert to fraction form
    299,205/437,235 = 437,235/x
  3. Step 3: Cross multiply
    299,205x = 437,235 × 437,235
  4. Step 4: Simplify right side
    299,205x = 191,174,445,225
  5. Step 5: Solve for x
    x = 191,174,445,225/299,205
  6. Step 6: Final answer
    x = 638,941.35

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.