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Finding the Third Proportional to 489,145.50 and 643,221

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Solution

The third proportional to 489,145.50 and 643,221 is: 845,828.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,145.50 : 643,221 = 643,221 : x
  2. Step 2: Convert to fraction form
    489,145.50/643,221 = 643,221/x
  3. Step 3: Cross multiply
    489,145.50x = 643,221 × 643,221
  4. Step 4: Simplify right side
    489,145.50x = 413,733,254,841
  5. Step 5: Solve for x
    x = 413,733,254,841/489,145.50
  6. Step 6: Final answer
    x = 845,828.60

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.