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Finding the Third Proportional to 315,660 and 473,855.50

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Solution

The third proportional to 315,660 and 473,855.50 is: 711,331.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,660 : 473,855.50 = 473,855.50 : x
  2. Step 2: Convert to fraction form
    315,660/473,855.50 = 473,855.50/x
  3. Step 3: Cross multiply
    315,660x = 473,855.50 × 473,855.50
  4. Step 4: Simplify right side
    315,660x = 224,539,034,880.25
  5. Step 5: Solve for x
    x = 224,539,034,880.25/315,660
  6. Step 6: Final answer
    x = 711,331.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.