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Finding the Third Proportional to 478,410 and 740,768

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Solution

The third proportional to 478,410 and 740,768 is: 1,147,002.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,410 : 740,768 = 740,768 : x
  2. Step 2: Convert to fraction form
    478,410/740,768 = 740,768/x
  3. Step 3: Cross multiply
    478,410x = 740,768 × 740,768
  4. Step 4: Simplify right side
    478,410x = 548,737,229,824
  5. Step 5: Solve for x
    x = 548,737,229,824/478,410
  6. Step 6: Final answer
    x = 1,147,002.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.