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Finding the Third Proportional to 257,356 and 390,408

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Solution

The third proportional to 257,356 and 390,408 is: 592,247.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,356 : 390,408 = 390,408 : x
  2. Step 2: Convert to fraction form
    257,356/390,408 = 390,408/x
  3. Step 3: Cross multiply
    257,356x = 390,408 × 390,408
  4. Step 4: Simplify right side
    257,356x = 152,418,406,464
  5. Step 5: Solve for x
    x = 152,418,406,464/257,356
  6. Step 6: Final answer
    x = 592,247.34

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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.