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Finding the Third Proportional to 623,880 and 931,659

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Solution

The third proportional to 623,880 and 931,659 is: 1,391,274.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,880 : 931,659 = 931,659 : x
  2. Step 2: Convert to fraction form
    623,880/931,659 = 931,659/x
  3. Step 3: Cross multiply
    623,880x = 931,659 × 931,659
  4. Step 4: Simplify right side
    623,880x = 867,988,492,281
  5. Step 5: Solve for x
    x = 867,988,492,281/623,880
  6. Step 6: Final answer
    x = 1,391,274.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.