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Finding the Third Proportional to 646,911 and 926,328

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Solution

The third proportional to 646,911 and 926,328 is: 1,326,432.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,911 : 926,328 = 926,328 : x
  2. Step 2: Convert to fraction form
    646,911/926,328 = 926,328/x
  3. Step 3: Cross multiply
    646,911x = 926,328 × 926,328
  4. Step 4: Simplify right side
    646,911x = 858,083,563,584
  5. Step 5: Solve for x
    x = 858,083,563,584/646,911
  6. Step 6: Final answer
    x = 1,326,432.17

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.