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Finding the Third Proportional to 413,628 and 663,633

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Solution

The third proportional to 413,628 and 663,633 is: 1,064,746.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,628 : 663,633 = 663,633 : x
  2. Step 2: Convert to fraction form
    413,628/663,633 = 663,633/x
  3. Step 3: Cross multiply
    413,628x = 663,633 × 663,633
  4. Step 4: Simplify right side
    413,628x = 440,408,758,689
  5. Step 5: Solve for x
    x = 440,408,758,689/413,628
  6. Step 6: Final answer
    x = 1,064,746.00

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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.