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Finding the Third Proportional to 309,906 and 478,875

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Solution

The third proportional to 309,906 and 478,875 is: 739,970.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,906 : 478,875 = 478,875 : x
  2. Step 2: Convert to fraction form
    309,906/478,875 = 478,875/x
  3. Step 3: Cross multiply
    309,906x = 478,875 × 478,875
  4. Step 4: Simplify right side
    309,906x = 229,321,265,625
  5. Step 5: Solve for x
    x = 229,321,265,625/309,906
  6. Step 6: Final answer
    x = 739,970.40

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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.