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Finding the Third Proportional to 287,710.10 and 435,563.26

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Solution

The third proportional to 287,710.10 and 435,563.26 is: 659,397.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,710.10 : 435,563.26 = 435,563.26 : x
  2. Step 2: Convert to fraction form
    287,710.10/435,563.26 = 435,563.26/x
  3. Step 3: Cross multiply
    287,710.10x = 435,563.26 × 435,563.26
  4. Step 4: Simplify right side
    287,710.10x = 189,715,354,959.08
  5. Step 5: Solve for x
    x = 189,715,354,959.08/287,710.10
  6. Step 6: Final answer
    x = 659,397.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.