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Finding the Third Proportional to 688,303.50 and 765,805.50

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Solution

The third proportional to 688,303.50 and 765,805.50 is: 852,034.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,303.50 : 765,805.50 = 765,805.50 : x
  2. Step 2: Convert to fraction form
    688,303.50/765,805.50 = 765,805.50/x
  3. Step 3: Cross multiply
    688,303.50x = 765,805.50 × 765,805.50
  4. Step 4: Simplify right side
    688,303.50x = 586,458,063,830.25
  5. Step 5: Solve for x
    x = 586,458,063,830.25/688,303.50
  6. Step 6: Final answer
    x = 852,034.12

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.