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Finding the Third Proportional to 445,490 and 643,659

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Solution

The third proportional to 445,490 and 643,659 is: 929,980.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,490 : 643,659 = 643,659 : x
  2. Step 2: Convert to fraction form
    445,490/643,659 = 643,659/x
  3. Step 3: Cross multiply
    445,490x = 643,659 × 643,659
  4. Step 4: Simplify right side
    445,490x = 414,296,908,281
  5. Step 5: Solve for x
    x = 414,296,908,281/445,490
  6. Step 6: Final answer
    x = 929,980.27

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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.