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Finding the Third Proportional to 310,730 and 479,832

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Solution

The third proportional to 310,730 and 479,832 is: 740,960.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,730 : 479,832 = 479,832 : x
  2. Step 2: Convert to fraction form
    310,730/479,832 = 479,832/x
  3. Step 3: Cross multiply
    310,730x = 479,832 × 479,832
  4. Step 4: Simplify right side
    310,730x = 230,238,748,224
  5. Step 5: Solve for x
    x = 230,238,748,224/310,730
  6. Step 6: Final answer
    x = 740,960.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.