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Finding the Third Proportional to 315,040 and 679,854

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Solution

The third proportional to 315,040 and 679,854 is: 1,467,119.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,040 : 679,854 = 679,854 : x
  2. Step 2: Convert to fraction form
    315,040/679,854 = 679,854/x
  3. Step 3: Cross multiply
    315,040x = 679,854 × 679,854
  4. Step 4: Simplify right side
    315,040x = 462,201,461,316
  5. Step 5: Solve for x
    x = 462,201,461,316/315,040
  6. Step 6: Final answer
    x = 1,467,119.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.