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Finding the Third Proportional to 390,960 and 576,072

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Solution

The third proportional to 390,960 and 576,072 is: 848,830.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,960 : 576,072 = 576,072 : x
  2. Step 2: Convert to fraction form
    390,960/576,072 = 576,072/x
  3. Step 3: Cross multiply
    390,960x = 576,072 × 576,072
  4. Step 4: Simplify right side
    390,960x = 331,858,949,184
  5. Step 5: Solve for x
    x = 331,858,949,184/390,960
  6. Step 6: Final answer
    x = 848,830.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.