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Finding the Third Proportional to 357,718 and 782,687

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Solution

The third proportional to 357,718 and 782,687 is: 1,712,519.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,718 : 782,687 = 782,687 : x
  2. Step 2: Convert to fraction form
    357,718/782,687 = 782,687/x
  3. Step 3: Cross multiply
    357,718x = 782,687 × 782,687
  4. Step 4: Simplify right side
    357,718x = 612,598,939,969
  5. Step 5: Solve for x
    x = 612,598,939,969/357,718
  6. Step 6: Final answer
    x = 1,712,519.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.