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Finding the Third Proportional to 257,962 and 390,838

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Solution

The third proportional to 257,962 and 390,838 is: 592,158.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,962 : 390,838 = 390,838 : x
  2. Step 2: Convert to fraction form
    257,962/390,838 = 390,838/x
  3. Step 3: Cross multiply
    257,962x = 390,838 × 390,838
  4. Step 4: Simplify right side
    257,962x = 152,754,342,244
  5. Step 5: Solve for x
    x = 152,754,342,244/257,962
  6. Step 6: Final answer
    x = 592,158.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.