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Finding the Third Proportional to 501,270 and 767,781

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Solution

The third proportional to 501,270 and 767,781 is: 1,175,988.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,270 : 767,781 = 767,781 : x
  2. Step 2: Convert to fraction form
    501,270/767,781 = 767,781/x
  3. Step 3: Cross multiply
    501,270x = 767,781 × 767,781
  4. Step 4: Simplify right side
    501,270x = 589,487,663,961
  5. Step 5: Solve for x
    x = 589,487,663,961/501,270
  6. Step 6: Final answer
    x = 1,175,988.32

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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.