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Finding the Third Proportional to 529,726.50 and 680,170.50

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Solution

The third proportional to 529,726.50 and 680,170.50 is: 873,341.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,726.50 : 680,170.50 = 680,170.50 : x
  2. Step 2: Convert to fraction form
    529,726.50/680,170.50 = 680,170.50/x
  3. Step 3: Cross multiply
    529,726.50x = 680,170.50 × 680,170.50
  4. Step 4: Simplify right side
    529,726.50x = 462,631,909,070.25
  5. Step 5: Solve for x
    x = 462,631,909,070.25/529,726.50
  6. Step 6: Final answer
    x = 873,341.07

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.