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Finding the Third Proportional to 531,488 and 776,768

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Solution

The third proportional to 531,488 and 776,768 is: 1,135,243.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,488 : 776,768 = 776,768 : x
  2. Step 2: Convert to fraction form
    531,488/776,768 = 776,768/x
  3. Step 3: Cross multiply
    531,488x = 776,768 × 776,768
  4. Step 4: Simplify right side
    531,488x = 603,368,525,824
  5. Step 5: Solve for x
    x = 603,368,525,824/531,488
  6. Step 6: Final answer
    x = 1,135,243.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.