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Finding the Third Proportional to 435,300.75 and 489,277.13

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Solution

The third proportional to 435,300.75 and 489,277.13 is: 549,946.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,300.75 : 489,277.13 = 489,277.13 : x
  2. Step 2: Convert to fraction form
    435,300.75/489,277.13 = 489,277.13/x
  3. Step 3: Cross multiply
    435,300.75x = 489,277.13 × 489,277.13
  4. Step 4: Simplify right side
    435,300.75x = 239,392,105,048.27
  5. Step 5: Solve for x
    x = 239,392,105,048.27/435,300.75
  6. Step 6: Final answer
    x = 549,946.46

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.