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Finding the Third Proportional to 515,868.50 and 688,008.50

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Solution

The third proportional to 515,868.50 and 688,008.50 is: 917,589.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,868.50 : 688,008.50 = 688,008.50 : x
  2. Step 2: Convert to fraction form
    515,868.50/688,008.50 = 688,008.50/x
  3. Step 3: Cross multiply
    515,868.50x = 688,008.50 × 688,008.50
  4. Step 4: Simplify right side
    515,868.50x = 473,355,696,072.25
  5. Step 5: Solve for x
    x = 473,355,696,072.25/515,868.50
  6. Step 6: Final answer
    x = 917,589.84

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.