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Finding the Third Proportional to 489,924 and 749,457

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Solution

The third proportional to 489,924 and 749,457 is: 1,146,475.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,924 : 749,457 = 749,457 : x
  2. Step 2: Convert to fraction form
    489,924/749,457 = 749,457/x
  3. Step 3: Cross multiply
    489,924x = 749,457 × 749,457
  4. Step 4: Simplify right side
    489,924x = 561,685,794,849
  5. Step 5: Solve for x
    x = 561,685,794,849/489,924
  6. Step 6: Final answer
    x = 1,146,475.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.