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Finding the Third Proportional to 155,562 and 321,492

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Solution

The third proportional to 155,562 and 321,492 is: 664,411.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,562 : 321,492 = 321,492 : x
  2. Step 2: Convert to fraction form
    155,562/321,492 = 321,492/x
  3. Step 3: Cross multiply
    155,562x = 321,492 × 321,492
  4. Step 4: Simplify right side
    155,562x = 103,357,106,064
  5. Step 5: Solve for x
    x = 103,357,106,064/155,562
  6. Step 6: Final answer
    x = 664,411.01

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.