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Finding the Third Proportional to 308,985 and 478,178

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Solution

The third proportional to 308,985 and 478,178 is: 740,017.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,985 : 478,178 = 478,178 : x
  2. Step 2: Convert to fraction form
    308,985/478,178 = 478,178/x
  3. Step 3: Cross multiply
    308,985x = 478,178 × 478,178
  4. Step 4: Simplify right side
    308,985x = 228,654,199,684
  5. Step 5: Solve for x
    x = 228,654,199,684/308,985
  6. Step 6: Final answer
    x = 740,017.15

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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.