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Finding the Third Proportional to 309,931.03 and 478,922.63

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Solution

The third proportional to 309,931.03 and 478,922.63 is: 740,057.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,931.03 : 478,922.63 = 478,922.63 : x
  2. Step 2: Convert to fraction form
    309,931.03/478,922.63 = 478,922.63/x
  3. Step 3: Cross multiply
    309,931.03x = 478,922.63 × 478,922.63
  4. Step 4: Simplify right side
    309,931.03x = 229,366,880,736.89
  5. Step 5: Solve for x
    x = 229,366,880,736.89/309,931.03
  6. Step 6: Final answer
    x = 740,057.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.