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Finding the Third Proportional to 402,284 and 554,149.50

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Solution

The third proportional to 402,284 and 554,149.50 is: 763,345.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,284 : 554,149.50 = 554,149.50 : x
  2. Step 2: Convert to fraction form
    402,284/554,149.50 = 554,149.50/x
  3. Step 3: Cross multiply
    402,284x = 554,149.50 × 554,149.50
  4. Step 4: Simplify right side
    402,284x = 307,081,668,350.25
  5. Step 5: Solve for x
    x = 307,081,668,350.25/402,284
  6. Step 6: Final answer
    x = 763,345.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.