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Finding the Third Proportional to 445,521 and 643,700

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Solution

The third proportional to 445,521 and 643,700 is: 930,034.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,521 : 643,700 = 643,700 : x
  2. Step 2: Convert to fraction form
    445,521/643,700 = 643,700/x
  3. Step 3: Cross multiply
    445,521x = 643,700 × 643,700
  4. Step 4: Simplify right side
    445,521x = 414,349,690,000
  5. Step 5: Solve for x
    x = 414,349,690,000/445,521
  6. Step 6: Final answer
    x = 930,034.03

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.