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Finding the Third Proportional to 435,438.50 and 640,352

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Solution

The third proportional to 435,438.50 and 640,352 is: 941,695.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,438.50 : 640,352 = 640,352 : x
  2. Step 2: Convert to fraction form
    435,438.50/640,352 = 640,352/x
  3. Step 3: Cross multiply
    435,438.50x = 640,352 × 640,352
  4. Step 4: Simplify right side
    435,438.50x = 410,050,683,904
  5. Step 5: Solve for x
    x = 410,050,683,904/435,438.50
  6. Step 6: Final answer
    x = 941,695.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.