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Finding the Third Proportional to 386,060 and 556,938

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Solution

The third proportional to 386,060 and 556,938 is: 803,450.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,060 : 556,938 = 556,938 : x
  2. Step 2: Convert to fraction form
    386,060/556,938 = 556,938/x
  3. Step 3: Cross multiply
    386,060x = 556,938 × 556,938
  4. Step 4: Simplify right side
    386,060x = 310,179,935,844
  5. Step 5: Solve for x
    x = 310,179,935,844/386,060
  6. Step 6: Final answer
    x = 803,450.07

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.