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Finding the Third Proportional to 249,802 and 380,960

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Solution

The third proportional to 249,802 and 380,960 is: 580,982.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,802 : 380,960 = 380,960 : x
  2. Step 2: Convert to fraction form
    249,802/380,960 = 380,960/x
  3. Step 3: Cross multiply
    249,802x = 380,960 × 380,960
  4. Step 4: Simplify right side
    249,802x = 145,130,521,600
  5. Step 5: Solve for x
    x = 145,130,521,600/249,802
  6. Step 6: Final answer
    x = 580,982.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.