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Finding the Third Proportional to 460,783.50 and 1,010,140.88

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Solution

The third proportional to 460,783.50 and 1,010,140.88 is: 2,214,455.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,783.50 : 1,010,140.88 = 1,010,140.88 : x
  2. Step 2: Convert to fraction form
    460,783.50/1,010,140.88 = 1,010,140.88/x
  3. Step 3: Cross multiply
    460,783.50x = 1,010,140.88 × 1,010,140.88
  4. Step 4: Simplify right side
    460,783.50x = 1,020,384,587,345.77
  5. Step 5: Solve for x
    x = 1,020,384,587,345.77/460,783.50
  6. Step 6: Final answer
    x = 2,214,455.57

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.