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Finding the Third Proportional to 252,388 and 390,738

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Solution

The third proportional to 252,388 and 390,738 is: 604,926.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,388 : 390,738 = 390,738 : x
  2. Step 2: Convert to fraction form
    252,388/390,738 = 390,738/x
  3. Step 3: Cross multiply
    252,388x = 390,738 × 390,738
  4. Step 4: Simplify right side
    252,388x = 152,676,184,644
  5. Step 5: Solve for x
    x = 152,676,184,644/252,388
  6. Step 6: Final answer
    x = 604,926.48

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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.