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Finding the Third Proportional to 265,370 and 390,225

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Solution

The third proportional to 265,370 and 390,225 is: 573,823.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,370 : 390,225 = 390,225 : x
  2. Step 2: Convert to fraction form
    265,370/390,225 = 390,225/x
  3. Step 3: Cross multiply
    265,370x = 390,225 × 390,225
  4. Step 4: Simplify right side
    265,370x = 152,275,550,625
  5. Step 5: Solve for x
    x = 152,275,550,625/265,370
  6. Step 6: Final answer
    x = 573,823.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.