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Finding the Third Proportional to 978,140.81 and 1,496,386.41

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Solution

The third proportional to 978,140.81 and 1,496,386.41 is: 2,289,212.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,140.81 : 1,496,386.41 = 1,496,386.41 : x
  2. Step 2: Convert to fraction form
    978,140.81/1,496,386.41 = 1,496,386.41/x
  3. Step 3: Cross multiply
    978,140.81x = 1,496,386.41 × 1,496,386.41
  4. Step 4: Simplify right side
    978,140.81x = 2,239,172,276,809.79
  5. Step 5: Solve for x
    x = 2,239,172,276,809.79/978,140.81
  6. Step 6: Final answer
    x = 2,289,212.60

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.