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Finding the Third Proportional to 368,499 and 776,130

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Solution

The third proportional to 368,499 and 776,130 is: 1,634,679.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,499 : 776,130 = 776,130 : x
  2. Step 2: Convert to fraction form
    368,499/776,130 = 776,130/x
  3. Step 3: Cross multiply
    368,499x = 776,130 × 776,130
  4. Step 4: Simplify right side
    368,499x = 602,377,776,900
  5. Step 5: Solve for x
    x = 602,377,776,900/368,499
  6. Step 6: Final answer
    x = 1,634,679.54

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.