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Finding the Third Proportional to 306,909 and 473,485.50

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Solution

The third proportional to 306,909 and 473,485.50 is: 730,472.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,909 : 473,485.50 = 473,485.50 : x
  2. Step 2: Convert to fraction form
    306,909/473,485.50 = 473,485.50/x
  3. Step 3: Cross multiply
    306,909x = 473,485.50 × 473,485.50
  4. Step 4: Simplify right side
    306,909x = 224,188,518,710.25
  5. Step 5: Solve for x
    x = 224,188,518,710.25/306,909
  6. Step 6: Final answer
    x = 730,472.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.