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Finding the Third Proportional to 245,681 and 520,887

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Solution

The third proportional to 245,681 and 520,887 is: 1,104,372.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,681 : 520,887 = 520,887 : x
  2. Step 2: Convert to fraction form
    245,681/520,887 = 520,887/x
  3. Step 3: Cross multiply
    245,681x = 520,887 × 520,887
  4. Step 4: Simplify right side
    245,681x = 271,323,266,769
  5. Step 5: Solve for x
    x = 271,323,266,769/245,681
  6. Step 6: Final answer
    x = 1,104,372.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.