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Finding the Third Proportional to 314,572 and 684,440

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Solution

The third proportional to 314,572 and 684,440 is: 1,489,192.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,572 : 684,440 = 684,440 : x
  2. Step 2: Convert to fraction form
    314,572/684,440 = 684,440/x
  3. Step 3: Cross multiply
    314,572x = 684,440 × 684,440
  4. Step 4: Simplify right side
    314,572x = 468,458,113,600
  5. Step 5: Solve for x
    x = 468,458,113,600/314,572
  6. Step 6: Final answer
    x = 1,489,192.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.