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Finding the Third Proportional to 485,655 and 1,030,489.50

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Solution

The third proportional to 485,655 and 1,030,489.50 is: 2,186,549.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,655 : 1,030,489.50 = 1,030,489.50 : x
  2. Step 2: Convert to fraction form
    485,655/1,030,489.50 = 1,030,489.50/x
  3. Step 3: Cross multiply
    485,655x = 1,030,489.50 × 1,030,489.50
  4. Step 4: Simplify right side
    485,655x = 1,061,908,609,610.25
  5. Step 5: Solve for x
    x = 1,061,908,609,610.25/485,655
  6. Step 6: Final answer
    x = 2,186,549.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.