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Finding the Third Proportional to 347,688 and 837,312

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Solution

The third proportional to 347,688 and 837,312 is: 2,016,438.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,688 : 837,312 = 837,312 : x
  2. Step 2: Convert to fraction form
    347,688/837,312 = 837,312/x
  3. Step 3: Cross multiply
    347,688x = 837,312 × 837,312
  4. Step 4: Simplify right side
    347,688x = 701,091,385,344
  5. Step 5: Solve for x
    x = 701,091,385,344/347,688
  6. Step 6: Final answer
    x = 2,016,438.26

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.