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Finding the Third Proportional to 277,913 and 423,967

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Solution

The third proportional to 277,913 and 423,967 is: 646,778.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,913 : 423,967 = 423,967 : x
  2. Step 2: Convert to fraction form
    277,913/423,967 = 423,967/x
  3. Step 3: Cross multiply
    277,913x = 423,967 × 423,967
  4. Step 4: Simplify right side
    277,913x = 179,748,017,089
  5. Step 5: Solve for x
    x = 179,748,017,089/277,913
  6. Step 6: Final answer
    x = 646,778.01

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.