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Finding the Third Proportional to 347,178 and 760,830

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Solution

The third proportional to 347,178 and 760,830 is: 1,667,335.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,178 : 760,830 = 760,830 : x
  2. Step 2: Convert to fraction form
    347,178/760,830 = 760,830/x
  3. Step 3: Cross multiply
    347,178x = 760,830 × 760,830
  4. Step 4: Simplify right side
    347,178x = 578,862,288,900
  5. Step 5: Solve for x
    x = 578,862,288,900/347,178
  6. Step 6: Final answer
    x = 1,667,335.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.