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Finding the Third Proportional to 297,960 and 425,639.50

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Solution

The third proportional to 297,960 and 425,639.50 is: 608,031.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,960 : 425,639.50 = 425,639.50 : x
  2. Step 2: Convert to fraction form
    297,960/425,639.50 = 425,639.50/x
  3. Step 3: Cross multiply
    297,960x = 425,639.50 × 425,639.50
  4. Step 4: Simplify right side
    297,960x = 181,168,983,960.25
  5. Step 5: Solve for x
    x = 181,168,983,960.25/297,960
  6. Step 6: Final answer
    x = 608,031.23

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.