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Finding the Third Proportional to 249,441 and 380,391

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Solution

The third proportional to 249,441 and 380,391 is: 580,086.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,441 : 380,391 = 380,391 : x
  2. Step 2: Convert to fraction form
    249,441/380,391 = 380,391/x
  3. Step 3: Cross multiply
    249,441x = 380,391 × 380,391
  4. Step 4: Simplify right side
    249,441x = 144,697,312,881
  5. Step 5: Solve for x
    x = 144,697,312,881/249,441
  6. Step 6: Final answer
    x = 580,086.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.