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Finding the Third Proportional to 287,403 and 435,078

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Solution

The third proportional to 287,403 and 435,078 is: 658,632.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,403 : 435,078 = 435,078 : x
  2. Step 2: Convert to fraction form
    287,403/435,078 = 435,078/x
  3. Step 3: Cross multiply
    287,403x = 435,078 × 435,078
  4. Step 4: Simplify right side
    287,403x = 189,292,866,084
  5. Step 5: Solve for x
    x = 189,292,866,084/287,403
  6. Step 6: Final answer
    x = 658,632.19

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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.