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Finding the Third Proportional to 476,780.06 and 720,030.38

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Solution

The third proportional to 476,780.06 and 720,030.38 is: 1,087,385.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,780.06 : 720,030.38 = 720,030.38 : x
  2. Step 2: Convert to fraction form
    476,780.06/720,030.38 = 720,030.38/x
  3. Step 3: Cross multiply
    476,780.06x = 720,030.38 × 720,030.38
  4. Step 4: Simplify right side
    476,780.06x = 518,443,740,922.64
  5. Step 5: Solve for x
    x = 518,443,740,922.64/476,780.06
  6. Step 6: Final answer
    x = 1,087,385.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.