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Finding the Third Proportional to 316,008 and 684,480

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Solution

The third proportional to 316,008 and 684,480 is: 1,482,598.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,008 : 684,480 = 684,480 : x
  2. Step 2: Convert to fraction form
    316,008/684,480 = 684,480/x
  3. Step 3: Cross multiply
    316,008x = 684,480 × 684,480
  4. Step 4: Simplify right side
    316,008x = 468,512,870,400
  5. Step 5: Solve for x
    x = 468,512,870,400/316,008
  6. Step 6: Final answer
    x = 1,482,598.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.