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Finding the Third Proportional to 894,160 and 1,352,796

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Solution

The third proportional to 894,160 and 1,352,796 is: 2,046,677.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    894,160 : 1,352,796 = 1,352,796 : x
  2. Step 2: Convert to fraction form
    894,160/1,352,796 = 1,352,796/x
  3. Step 3: Cross multiply
    894,160x = 1,352,796 × 1,352,796
  4. Step 4: Simplify right side
    894,160x = 1,830,057,017,616
  5. Step 5: Solve for x
    x = 1,830,057,017,616/894,160
  6. Step 6: Final answer
    x = 2,046,677.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.