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Finding the Third Proportional to 413,477 and 663,409

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Solution

The third proportional to 413,477 and 663,409 is: 1,064,415.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,477 : 663,409 = 663,409 : x
  2. Step 2: Convert to fraction form
    413,477/663,409 = 663,409/x
  3. Step 3: Cross multiply
    413,477x = 663,409 × 663,409
  4. Step 4: Simplify right side
    413,477x = 440,111,501,281
  5. Step 5: Solve for x
    x = 440,111,501,281/413,477
  6. Step 6: Final answer
    x = 1,064,415.92

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.