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Finding the Third Proportional to 115,386 and 242,418

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Solution

The third proportional to 115,386 and 242,418 is: 509,303.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,386 : 242,418 = 242,418 : x
  2. Step 2: Convert to fraction form
    115,386/242,418 = 242,418/x
  3. Step 3: Cross multiply
    115,386x = 242,418 × 242,418
  4. Step 4: Simplify right side
    115,386x = 58,766,486,724
  5. Step 5: Solve for x
    x = 58,766,486,724/115,386
  6. Step 6: Final answer
    x = 509,303.44

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.