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Finding the Third Proportional to 843,376 and 1,341,328

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Solution

The third proportional to 843,376 and 1,341,328 is: 2,133,284.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,376 : 1,341,328 = 1,341,328 : x
  2. Step 2: Convert to fraction form
    843,376/1,341,328 = 1,341,328/x
  3. Step 3: Cross multiply
    843,376x = 1,341,328 × 1,341,328
  4. Step 4: Simplify right side
    843,376x = 1,799,160,803,584
  5. Step 5: Solve for x
    x = 1,799,160,803,584/843,376
  6. Step 6: Final answer
    x = 2,133,284.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.