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Finding the Third Proportional to 309,912 and 478,537

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Solution

The third proportional to 309,912 and 478,537 is: 738,911.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,912 : 478,537 = 478,537 : x
  2. Step 2: Convert to fraction form
    309,912/478,537 = 478,537/x
  3. Step 3: Cross multiply
    309,912x = 478,537 × 478,537
  4. Step 4: Simplify right side
    309,912x = 228,997,660,369
  5. Step 5: Solve for x
    x = 228,997,660,369/309,912
  6. Step 6: Final answer
    x = 738,911.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.