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Finding the Third Proportional to 399,106 and 619,646

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Solution

The third proportional to 399,106 and 619,646 is: 962,053.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,106 : 619,646 = 619,646 : x
  2. Step 2: Convert to fraction form
    399,106/619,646 = 619,646/x
  3. Step 3: Cross multiply
    399,106x = 619,646 × 619,646
  4. Step 4: Simplify right side
    399,106x = 383,961,165,316
  5. Step 5: Solve for x
    x = 383,961,165,316/399,106
  6. Step 6: Final answer
    x = 962,053.10

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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.