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Finding the Third Proportional to 315,308 and 489,574

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Solution

The third proportional to 315,308 and 489,574 is: 760,154.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,308 : 489,574 = 489,574 : x
  2. Step 2: Convert to fraction form
    315,308/489,574 = 489,574/x
  3. Step 3: Cross multiply
    315,308x = 489,574 × 489,574
  4. Step 4: Simplify right side
    315,308x = 239,682,701,476
  5. Step 5: Solve for x
    x = 239,682,701,476/315,308
  6. Step 6: Final answer
    x = 760,154.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.