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Finding the Third Proportional to 310,386 and 474,595

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Solution

The third proportional to 310,386 and 474,595 is: 725,678.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,386 : 474,595 = 474,595 : x
  2. Step 2: Convert to fraction form
    310,386/474,595 = 474,595/x
  3. Step 3: Cross multiply
    310,386x = 474,595 × 474,595
  4. Step 4: Simplify right side
    310,386x = 225,240,414,025
  5. Step 5: Solve for x
    x = 225,240,414,025/310,386
  6. Step 6: Final answer
    x = 725,678.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.