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Finding the Third Proportional to 321,653 and 473,123

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Solution

The third proportional to 321,653 and 473,123 is: 695,921.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,653 : 473,123 = 473,123 : x
  2. Step 2: Convert to fraction form
    321,653/473,123 = 473,123/x
  3. Step 3: Cross multiply
    321,653x = 473,123 × 473,123
  4. Step 4: Simplify right side
    321,653x = 223,845,373,129
  5. Step 5: Solve for x
    x = 223,845,373,129/321,653
  6. Step 6: Final answer
    x = 695,921.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.