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Finding the Third Proportional to 251,538 and 380,547

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Solution

The third proportional to 251,538 and 380,547 is: 575,722.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,538 : 380,547 = 380,547 : x
  2. Step 2: Convert to fraction form
    251,538/380,547 = 380,547/x
  3. Step 3: Cross multiply
    251,538x = 380,547 × 380,547
  4. Step 4: Simplify right side
    251,538x = 144,816,019,209
  5. Step 5: Solve for x
    x = 144,816,019,209/251,538
  6. Step 6: Final answer
    x = 575,722.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.