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Finding the Third Proportional to 427,816 and 910,688

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Solution

The third proportional to 427,816 and 910,688 is: 1,938,573.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,816 : 910,688 = 910,688 : x
  2. Step 2: Convert to fraction form
    427,816/910,688 = 910,688/x
  3. Step 3: Cross multiply
    427,816x = 910,688 × 910,688
  4. Step 4: Simplify right side
    427,816x = 829,352,633,344
  5. Step 5: Solve for x
    x = 829,352,633,344/427,816
  6. Step 6: Final answer
    x = 1,938,573.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.