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Finding the Third Proportional to 309,632.63 and 478,539

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Solution

The third proportional to 309,632.63 and 478,539 is: 739,584.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,632.63 : 478,539 = 478,539 : x
  2. Step 2: Convert to fraction form
    309,632.63/478,539 = 478,539/x
  3. Step 3: Cross multiply
    309,632.63x = 478,539 × 478,539
  4. Step 4: Simplify right side
    309,632.63x = 228,999,574,521
  5. Step 5: Solve for x
    x = 228,999,574,521/309,632.63
  6. Step 6: Final answer
    x = 739,584.77

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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.