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Finding the Third Proportional to 511,488 and 786,417

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Solution

The third proportional to 511,488 and 786,417 is: 1,209,122.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,488 : 786,417 = 786,417 : x
  2. Step 2: Convert to fraction form
    511,488/786,417 = 786,417/x
  3. Step 3: Cross multiply
    511,488x = 786,417 × 786,417
  4. Step 4: Simplify right side
    511,488x = 618,451,697,889
  5. Step 5: Solve for x
    x = 618,451,697,889/511,488
  6. Step 6: Final answer
    x = 1,209,122.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.