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Finding the Third Proportional to 891,970 and 1,271,518

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Solution

The third proportional to 891,970 and 1,271,518 is: 1,812,569.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    891,970 : 1,271,518 = 1,271,518 : x
  2. Step 2: Convert to fraction form
    891,970/1,271,518 = 1,271,518/x
  3. Step 3: Cross multiply
    891,970x = 1,271,518 × 1,271,518
  4. Step 4: Simplify right side
    891,970x = 1,616,758,024,324
  5. Step 5: Solve for x
    x = 1,616,758,024,324/891,970
  6. Step 6: Final answer
    x = 1,812,569.96

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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.