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Finding the Third Proportional to 243,346 and 520,321

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Solution

The third proportional to 243,346 and 520,321 is: 1,112,547.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,346 : 520,321 = 520,321 : x
  2. Step 2: Convert to fraction form
    243,346/520,321 = 520,321/x
  3. Step 3: Cross multiply
    243,346x = 520,321 × 520,321
  4. Step 4: Simplify right side
    243,346x = 270,733,943,041
  5. Step 5: Solve for x
    x = 270,733,943,041/243,346
  6. Step 6: Final answer
    x = 1,112,547.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.