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Finding the Third Proportional to 623,880 and 1,277,316

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Solution

The third proportional to 623,880 and 1,277,316 is: 2,615,144.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,880 : 1,277,316 = 1,277,316 : x
  2. Step 2: Convert to fraction form
    623,880/1,277,316 = 1,277,316/x
  3. Step 3: Cross multiply
    623,880x = 1,277,316 × 1,277,316
  4. Step 4: Simplify right side
    623,880x = 1,631,536,163,856
  5. Step 5: Solve for x
    x = 1,631,536,163,856/623,880
  6. Step 6: Final answer
    x = 2,615,144.20

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.