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Finding the Third Proportional to 368,836 and 556,641

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Solution

The third proportional to 368,836 and 556,641 is: 840,073.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,836 : 556,641 = 556,641 : x
  2. Step 2: Convert to fraction form
    368,836/556,641 = 556,641/x
  3. Step 3: Cross multiply
    368,836x = 556,641 × 556,641
  4. Step 4: Simplify right side
    368,836x = 309,849,202,881
  5. Step 5: Solve for x
    x = 309,849,202,881/368,836
  6. Step 6: Final answer
    x = 840,073.10

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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.