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Finding the Third Proportional to 489,888 and 749,412

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Solution

The third proportional to 489,888 and 749,412 is: 1,146,421.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,888 : 749,412 = 749,412 : x
  2. Step 2: Convert to fraction form
    489,888/749,412 = 749,412/x
  3. Step 3: Cross multiply
    489,888x = 749,412 × 749,412
  4. Step 4: Simplify right side
    489,888x = 561,618,345,744
  5. Step 5: Solve for x
    x = 561,618,345,744/489,888
  6. Step 6: Final answer
    x = 1,146,421.93

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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.