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Finding the Third Proportional to 257,348 and 390,396

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Solution

The third proportional to 257,348 and 390,396 is: 592,229.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,348 : 390,396 = 390,396 : x
  2. Step 2: Convert to fraction form
    257,348/390,396 = 390,396/x
  3. Step 3: Cross multiply
    257,348x = 390,396 × 390,396
  4. Step 4: Simplify right side
    257,348x = 152,409,036,816
  5. Step 5: Solve for x
    x = 152,409,036,816/257,348
  6. Step 6: Final answer
    x = 592,229.34

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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.