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Finding the Third Proportional to 390,967 and 604,407

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Solution

The third proportional to 390,967 and 604,407 is: 934,369.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,967 : 604,407 = 604,407 : x
  2. Step 2: Convert to fraction form
    390,967/604,407 = 604,407/x
  3. Step 3: Cross multiply
    390,967x = 604,407 × 604,407
  4. Step 4: Simplify right side
    390,967x = 365,307,821,649
  5. Step 5: Solve for x
    x = 365,307,821,649/390,967
  6. Step 6: Final answer
    x = 934,369.96

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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.