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Finding the Third Proportional to 640,532 and 997,088

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Solution

The third proportional to 640,532 and 997,088 is: 1,552,123.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,532 : 997,088 = 997,088 : x
  2. Step 2: Convert to fraction form
    640,532/997,088 = 997,088/x
  3. Step 3: Cross multiply
    640,532x = 997,088 × 997,088
  4. Step 4: Simplify right side
    640,532x = 994,184,479,744
  5. Step 5: Solve for x
    x = 994,184,479,744/640,532
  6. Step 6: Final answer
    x = 1,552,123.05

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.