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Finding the Third Proportional to 356,913 and 489,395.25

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Solution

The third proportional to 356,913 and 489,395.25 is: 671,053.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,913 : 489,395.25 = 489,395.25 : x
  2. Step 2: Convert to fraction form
    356,913/489,395.25 = 489,395.25/x
  3. Step 3: Cross multiply
    356,913x = 489,395.25 × 489,395.25
  4. Step 4: Simplify right side
    356,913x = 239,507,710,722.56
  5. Step 5: Solve for x
    x = 239,507,710,722.56/356,913
  6. Step 6: Final answer
    x = 671,053.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.