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Finding the Third Proportional to 390,964 and 576,078

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Solution

The third proportional to 390,964 and 576,078 is: 848,839.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,964 : 576,078 = 576,078 : x
  2. Step 2: Convert to fraction form
    390,964/576,078 = 576,078/x
  3. Step 3: Cross multiply
    390,964x = 576,078 × 576,078
  4. Step 4: Simplify right side
    390,964x = 331,865,862,084
  5. Step 5: Solve for x
    x = 331,865,862,084/390,964
  6. Step 6: Final answer
    x = 848,839.95

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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.