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Finding the Third Proportional to 435,480 and 684,330

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Solution

The third proportional to 435,480 and 684,330 is: 1,075,382.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,480 : 684,330 = 684,330 : x
  2. Step 2: Convert to fraction form
    435,480/684,330 = 684,330/x
  3. Step 3: Cross multiply
    435,480x = 684,330 × 684,330
  4. Step 4: Simplify right side
    435,480x = 468,307,548,900
  5. Step 5: Solve for x
    x = 468,307,548,900/435,480
  6. Step 6: Final answer
    x = 1,075,382.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.