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Finding the Third Proportional to 115,392 and 242,447

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Solution

The third proportional to 115,392 and 242,447 is: 509,398.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,392 : 242,447 = 242,447 : x
  2. Step 2: Convert to fraction form
    115,392/242,447 = 242,447/x
  3. Step 3: Cross multiply
    115,392x = 242,447 × 242,447
  4. Step 4: Simplify right side
    115,392x = 58,780,547,809
  5. Step 5: Solve for x
    x = 58,780,547,809/115,392
  6. Step 6: Final answer
    x = 509,398.81

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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.