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Finding the Third Proportional to 249,903 and 397,450.50

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Solution

The third proportional to 249,903 and 397,450.50 is: 632,112.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,903 : 397,450.50 = 397,450.50 : x
  2. Step 2: Convert to fraction form
    249,903/397,450.50 = 397,450.50/x
  3. Step 3: Cross multiply
    249,903x = 397,450.50 × 397,450.50
  4. Step 4: Simplify right side
    249,903x = 157,966,899,950.25
  5. Step 5: Solve for x
    x = 157,966,899,950.25/249,903
  6. Step 6: Final answer
    x = 632,112.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.