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Finding the Third Proportional to 309,923.96 and 478,911.35

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Solution

The third proportional to 309,923.96 and 478,911.35 is: 740,039.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,923.96 : 478,911.35 = 478,911.35 : x
  2. Step 2: Convert to fraction form
    309,923.96/478,911.35 = 478,911.35/x
  3. Step 3: Cross multiply
    309,923.96x = 478,911.35 × 478,911.35
  4. Step 4: Simplify right side
    309,923.96x = 229,356,084,058.50
  5. Step 5: Solve for x
    x = 229,356,084,058.50/309,923.96
  6. Step 6: Final answer
    x = 740,039.87

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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.