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Finding the Third Proportional to 265,388 and 390,252

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Solution

The third proportional to 265,388 and 390,252 is: 573,864.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,388 : 390,252 = 390,252 : x
  2. Step 2: Convert to fraction form
    265,388/390,252 = 390,252/x
  3. Step 3: Cross multiply
    265,388x = 390,252 × 390,252
  4. Step 4: Simplify right side
    265,388x = 152,296,623,504
  5. Step 5: Solve for x
    x = 152,296,623,504/265,388
  6. Step 6: Final answer
    x = 573,864.02

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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.