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Finding the Third Proportional to 340,257 and 715,341

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Solution

The third proportional to 340,257 and 715,341 is: 1,503,900.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,257 : 715,341 = 715,341 : x
  2. Step 2: Convert to fraction form
    340,257/715,341 = 715,341/x
  3. Step 3: Cross multiply
    340,257x = 715,341 × 715,341
  4. Step 4: Simplify right side
    340,257x = 511,712,746,281
  5. Step 5: Solve for x
    x = 511,712,746,281/340,257
  6. Step 6: Final answer
    x = 1,503,900.72

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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.