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Finding the Third Proportional to 263,034 and 390,492

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Solution

The third proportional to 263,034 and 390,492 is: 579,712.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,034 : 390,492 = 390,492 : x
  2. Step 2: Convert to fraction form
    263,034/390,492 = 390,492/x
  3. Step 3: Cross multiply
    263,034x = 390,492 × 390,492
  4. Step 4: Simplify right side
    263,034x = 152,484,002,064
  5. Step 5: Solve for x
    x = 152,484,002,064/263,034
  6. Step 6: Final answer
    x = 579,712.14

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.