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Finding the Third Proportional to 460,783.13 and 1,010,140.50

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Solution

The third proportional to 460,783.13 and 1,010,140.50 is: 2,214,455.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,783.13 : 1,010,140.50 = 1,010,140.50 : x
  2. Step 2: Convert to fraction form
    460,783.13/1,010,140.50 = 1,010,140.50/x
  3. Step 3: Cross multiply
    460,783.13x = 1,010,140.50 × 1,010,140.50
  4. Step 4: Simplify right side
    460,783.13x = 1,020,383,829,740.25
  5. Step 5: Solve for x
    x = 1,020,383,829,740.25/460,783.13
  6. Step 6: Final answer
    x = 2,214,455.73

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Why These Related Problems?

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