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Finding the Third Proportional to 309,022 and 478,430

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Solution

The third proportional to 309,022 and 478,430 is: 740,708.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,022 : 478,430 = 478,430 : x
  2. Step 2: Convert to fraction form
    309,022/478,430 = 478,430/x
  3. Step 3: Cross multiply
    309,022x = 478,430 × 478,430
  4. Step 4: Simplify right side
    309,022x = 228,895,264,900
  5. Step 5: Solve for x
    x = 228,895,264,900/309,022
  6. Step 6: Final answer
    x = 740,708.64

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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.