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Finding the Third Proportional to 501,396 and 776,748

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Solution

The third proportional to 501,396 and 776,748 is: 1,203,315.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,396 : 776,748 = 776,748 : x
  2. Step 2: Convert to fraction form
    501,396/776,748 = 776,748/x
  3. Step 3: Cross multiply
    501,396x = 776,748 × 776,748
  4. Step 4: Simplify right side
    501,396x = 603,337,455,504
  5. Step 5: Solve for x
    x = 603,337,455,504/501,396
  6. Step 6: Final answer
    x = 1,203,315.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.