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Finding the Third Proportional to 459,054 and 645,304

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Solution

The third proportional to 459,054 and 645,304 is: 907,120.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,054 : 645,304 = 645,304 : x
  2. Step 2: Convert to fraction form
    459,054/645,304 = 645,304/x
  3. Step 3: Cross multiply
    459,054x = 645,304 × 645,304
  4. Step 4: Simplify right side
    459,054x = 416,417,252,416
  5. Step 5: Solve for x
    x = 416,417,252,416/459,054
  6. Step 6: Final answer
    x = 907,120.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.