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Finding the Third Proportional to 309,656.25 and 478,575

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Solution

The third proportional to 309,656.25 and 478,575 is: 739,639.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,656.25 : 478,575 = 478,575 : x
  2. Step 2: Convert to fraction form
    309,656.25/478,575 = 478,575/x
  3. Step 3: Cross multiply
    309,656.25x = 478,575 × 478,575
  4. Step 4: Simplify right side
    309,656.25x = 229,034,030,625
  5. Step 5: Solve for x
    x = 229,034,030,625/309,656.25
  6. Step 6: Final answer
    x = 739,639.62

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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.