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Finding the Third Proportional to 386,501 and 556,683

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Solution

The third proportional to 386,501 and 556,683 is: 801,798.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,501 : 556,683 = 556,683 : x
  2. Step 2: Convert to fraction form
    386,501/556,683 = 556,683/x
  3. Step 3: Cross multiply
    386,501x = 556,683 × 556,683
  4. Step 4: Simplify right side
    386,501x = 309,895,962,489
  5. Step 5: Solve for x
    x = 309,895,962,489/386,501
  6. Step 6: Final answer
    x = 801,798.60

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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.