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Finding the Third Proportional to 368,970 and 556,842

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Solution

The third proportional to 368,970 and 556,842 is: 840,374.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,970 : 556,842 = 556,842 : x
  2. Step 2: Convert to fraction form
    368,970/556,842 = 556,842/x
  3. Step 3: Cross multiply
    368,970x = 556,842 × 556,842
  4. Step 4: Simplify right side
    368,970x = 310,073,012,964
  5. Step 5: Solve for x
    x = 310,073,012,964/368,970
  6. Step 6: Final answer
    x = 840,374.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.