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Finding the Third Proportional to 306,031 and 459,047

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Solution

The third proportional to 306,031 and 459,047 is: 688,571.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,031 : 459,047 = 459,047 : x
  2. Step 2: Convert to fraction form
    306,031/459,047 = 459,047/x
  3. Step 3: Cross multiply
    306,031x = 459,047 × 459,047
  4. Step 4: Simplify right side
    306,031x = 210,724,148,209
  5. Step 5: Solve for x
    x = 210,724,148,209/306,031
  6. Step 6: Final answer
    x = 688,571.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.