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Finding the Third Proportional to 249,520 and 405,424

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Solution

The third proportional to 249,520 and 405,424 is: 658,739.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,520 : 405,424 = 405,424 : x
  2. Step 2: Convert to fraction form
    249,520/405,424 = 405,424/x
  3. Step 3: Cross multiply
    249,520x = 405,424 × 405,424
  4. Step 4: Simplify right side
    249,520x = 164,368,619,776
  5. Step 5: Solve for x
    x = 164,368,619,776/249,520
  6. Step 6: Final answer
    x = 658,739.26

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.