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Finding the Third Proportional to 423,762.47 and 639,464.63

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Solution

The third proportional to 423,762.47 and 639,464.63 is: 964,962.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,762.47 : 639,464.63 = 639,464.63 : x
  2. Step 2: Convert to fraction form
    423,762.47/639,464.63 = 639,464.63/x
  3. Step 3: Cross multiply
    423,762.47x = 639,464.63 × 639,464.63
  4. Step 4: Simplify right side
    423,762.47x = 408,915,006,626.39
  5. Step 5: Solve for x
    x = 408,915,006,626.39/423,762.47
  6. Step 6: Final answer
    x = 964,962.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.