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Finding the Third Proportional to 420,030.56 and 645,980.06

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Solution

The third proportional to 420,030.56 and 645,980.06 is: 993,475.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,030.56 : 645,980.06 = 645,980.06 : x
  2. Step 2: Convert to fraction form
    420,030.56/645,980.06 = 645,980.06/x
  3. Step 3: Cross multiply
    420,030.56x = 645,980.06 × 645,980.06
  4. Step 4: Simplify right side
    420,030.56x = 417,290,241,147.50
  5. Step 5: Solve for x
    x = 417,290,241,147.50/420,030.56
  6. Step 6: Final answer
    x = 993,475.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.