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Finding the Third Proportional to 265,386 and 390,249

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Solution

The third proportional to 265,386 and 390,249 is: 573,859.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,386 : 390,249 = 390,249 : x
  2. Step 2: Convert to fraction form
    265,386/390,249 = 390,249/x
  3. Step 3: Cross multiply
    265,386x = 390,249 × 390,249
  4. Step 4: Simplify right side
    265,386x = 152,294,282,001
  5. Step 5: Solve for x
    x = 152,294,282,001/265,386
  6. Step 6: Final answer
    x = 573,859.52

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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.