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Finding the Third Proportional to 472,888 and 663,556

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Solution

The third proportional to 472,888 and 663,556 is: 931,101.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,888 : 663,556 = 663,556 : x
  2. Step 2: Convert to fraction form
    472,888/663,556 = 663,556/x
  3. Step 3: Cross multiply
    472,888x = 663,556 × 663,556
  4. Step 4: Simplify right side
    472,888x = 440,306,565,136
  5. Step 5: Solve for x
    x = 440,306,565,136/472,888
  6. Step 6: Final answer
    x = 931,101.16

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.