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Finding the Third Proportional to 340,243 and 715,315

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Solution

The third proportional to 340,243 and 715,315 is: 1,503,853.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,243 : 715,315 = 715,315 : x
  2. Step 2: Convert to fraction form
    340,243/715,315 = 715,315/x
  3. Step 3: Cross multiply
    340,243x = 715,315 × 715,315
  4. Step 4: Simplify right side
    340,243x = 511,675,549,225
  5. Step 5: Solve for x
    x = 511,675,549,225/340,243
  6. Step 6: Final answer
    x = 1,503,853.27

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.