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Finding the Third Proportional to 294,580 and 450,430

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Solution

The third proportional to 294,580 and 450,430 is: 688,733.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,580 : 450,430 = 450,430 : x
  2. Step 2: Convert to fraction form
    294,580/450,430 = 450,430/x
  3. Step 3: Cross multiply
    294,580x = 450,430 × 450,430
  4. Step 4: Simplify right side
    294,580x = 202,887,184,900
  5. Step 5: Solve for x
    x = 202,887,184,900/294,580
  6. Step 6: Final answer
    x = 688,733.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.