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Finding the Third Proportional to 263,458 and 390,613

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Solution

The third proportional to 263,458 and 390,613 is: 579,137.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,458 : 390,613 = 390,613 : x
  2. Step 2: Convert to fraction form
    263,458/390,613 = 390,613/x
  3. Step 3: Cross multiply
    263,458x = 390,613 × 390,613
  4. Step 4: Simplify right side
    263,458x = 152,578,515,769
  5. Step 5: Solve for x
    x = 152,578,515,769/263,458
  6. Step 6: Final answer
    x = 579,137.91

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.