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Finding the Third Proportional to 290,524 and 632,492

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Solution

The third proportional to 290,524 and 632,492 is: 1,376,981.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,524 : 632,492 = 632,492 : x
  2. Step 2: Convert to fraction form
    290,524/632,492 = 632,492/x
  3. Step 3: Cross multiply
    290,524x = 632,492 × 632,492
  4. Step 4: Simplify right side
    290,524x = 400,046,130,064
  5. Step 5: Solve for x
    x = 400,046,130,064/290,524
  6. Step 6: Final answer
    x = 1,376,981.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.