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Finding the Third Proportional to 314,620 and 684,528

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Solution

The third proportional to 314,620 and 684,528 is: 1,489,347.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,620 : 684,528 = 684,528 : x
  2. Step 2: Convert to fraction form
    314,620/684,528 = 684,528/x
  3. Step 3: Cross multiply
    314,620x = 684,528 × 684,528
  4. Step 4: Simplify right side
    314,620x = 468,578,582,784
  5. Step 5: Solve for x
    x = 468,578,582,784/314,620
  6. Step 6: Final answer
    x = 1,489,347.73

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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.