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Finding the Third Proportional to 321,658 and 473,129

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Solution

The third proportional to 321,658 and 473,129 is: 695,928.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,658 : 473,129 = 473,129 : x
  2. Step 2: Convert to fraction form
    321,658/473,129 = 473,129/x
  3. Step 3: Cross multiply
    321,658x = 473,129 × 473,129
  4. Step 4: Simplify right side
    321,658x = 223,851,050,641
  5. Step 5: Solve for x
    x = 223,851,050,641/321,658
  6. Step 6: Final answer
    x = 695,928.75

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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.