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Finding the Third Proportional to 289,478.50 and 459,475.03

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Solution

The third proportional to 289,478.50 and 459,475.03 is: 729,302.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,478.50 : 459,475.03 = 459,475.03 : x
  2. Step 2: Convert to fraction form
    289,478.50/459,475.03 = 459,475.03/x
  3. Step 3: Cross multiply
    289,478.50x = 459,475.03 × 459,475.03
  4. Step 4: Simplify right side
    289,478.50x = 211,117,304,342.19
  5. Step 5: Solve for x
    x = 211,117,304,342.19/289,478.50
  6. Step 6: Final answer
    x = 729,302.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.