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Finding the Third Proportional to 263,708 and 390,628

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Solution

The third proportional to 263,708 and 390,628 is: 578,633.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,708 : 390,628 = 390,628 : x
  2. Step 2: Convert to fraction form
    263,708/390,628 = 390,628/x
  3. Step 3: Cross multiply
    263,708x = 390,628 × 390,628
  4. Step 4: Simplify right side
    263,708x = 152,590,234,384
  5. Step 5: Solve for x
    x = 152,590,234,384/263,708
  6. Step 6: Final answer
    x = 578,633.32

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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.