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Finding the Third Proportional to 263,712 and 390,634

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Solution

The third proportional to 263,712 and 390,634 is: 578,642.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,712 : 390,634 = 390,634 : x
  2. Step 2: Convert to fraction form
    263,712/390,634 = 390,634/x
  3. Step 3: Cross multiply
    263,712x = 390,634 × 390,634
  4. Step 4: Simplify right side
    263,712x = 152,594,921,956
  5. Step 5: Solve for x
    x = 152,594,921,956/263,712
  6. Step 6: Final answer
    x = 578,642.31

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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.