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Finding the Third Proportional to 210,768 and 507,948

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Solution

The third proportional to 210,768 and 507,948 is: 1,224,147.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,768 : 507,948 = 507,948 : x
  2. Step 2: Convert to fraction form
    210,768/507,948 = 507,948/x
  3. Step 3: Cross multiply
    210,768x = 507,948 × 507,948
  4. Step 4: Simplify right side
    210,768x = 258,011,170,704
  5. Step 5: Solve for x
    x = 258,011,170,704/210,768
  6. Step 6: Final answer
    x = 1,224,147.74

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.