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Finding the Third Proportional to 367,312 and 790,640

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Solution

The third proportional to 367,312 and 790,640 is: 1,701,854.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,312 : 790,640 = 790,640 : x
  2. Step 2: Convert to fraction form
    367,312/790,640 = 790,640/x
  3. Step 3: Cross multiply
    367,312x = 790,640 × 790,640
  4. Step 4: Simplify right side
    367,312x = 625,111,609,600
  5. Step 5: Solve for x
    x = 625,111,609,600/367,312
  6. Step 6: Final answer
    x = 1,701,854.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.