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Finding the Third Proportional to 356,814 and 489,271.50

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Solution

The third proportional to 356,814 and 489,271.50 is: 670,900.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,814 : 489,271.50 = 489,271.50 : x
  2. Step 2: Convert to fraction form
    356,814/489,271.50 = 489,271.50/x
  3. Step 3: Cross multiply
    356,814x = 489,271.50 × 489,271.50
  4. Step 4: Simplify right side
    356,814x = 239,386,600,712.25
  5. Step 5: Solve for x
    x = 239,386,600,712.25/356,814
  6. Step 6: Final answer
    x = 670,900.25

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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.