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Finding the Third Proportional to 320,278.88 and 470,779.88

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Solution

The third proportional to 320,278.88 and 470,779.88 is: 692,002.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,278.88 : 470,779.88 = 470,779.88 : x
  2. Step 2: Convert to fraction form
    320,278.88/470,779.88 = 470,779.88/x
  3. Step 3: Cross multiply
    320,278.88x = 470,779.88 × 470,779.88
  4. Step 4: Simplify right side
    320,278.88x = 221,633,690,705.02
  5. Step 5: Solve for x
    x = 221,633,690,705.02/320,278.88
  6. Step 6: Final answer
    x = 692,002.21

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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.