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Finding the Third Proportional to 155,664 and 342,432

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Solution

The third proportional to 155,664 and 342,432 is: 753,287.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,664 : 342,432 = 342,432 : x
  2. Step 2: Convert to fraction form
    155,664/342,432 = 342,432/x
  3. Step 3: Cross multiply
    155,664x = 342,432 × 342,432
  4. Step 4: Simplify right side
    155,664x = 117,259,674,624
  5. Step 5: Solve for x
    x = 117,259,674,624/155,664
  6. Step 6: Final answer
    x = 753,287.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.