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Finding the Third Proportional to 430,221 and 665,815.50

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Solution

The third proportional to 430,221 and 665,815.50 is: 1,030,424.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,221 : 665,815.50 = 665,815.50 : x
  2. Step 2: Convert to fraction form
    430,221/665,815.50 = 665,815.50/x
  3. Step 3: Cross multiply
    430,221x = 665,815.50 × 665,815.50
  4. Step 4: Simplify right side
    430,221x = 443,310,280,040.25
  5. Step 5: Solve for x
    x = 443,310,280,040.25/430,221
  6. Step 6: Final answer
    x = 1,030,424.55

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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.