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Finding the Third Proportional to 143,410 and 210,035

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Solution

The third proportional to 143,410 and 210,035 is: 307,612.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,410 : 210,035 = 210,035 : x
  2. Step 2: Convert to fraction form
    143,410/210,035 = 210,035/x
  3. Step 3: Cross multiply
    143,410x = 210,035 × 210,035
  4. Step 4: Simplify right side
    143,410x = 44,114,701,225
  5. Step 5: Solve for x
    x = 44,114,701,225/143,410
  6. Step 6: Final answer
    x = 307,612.45

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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.