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Finding the Third Proportional to 709,465.50 and 1,101,505.50

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Solution

The third proportional to 709,465.50 and 1,101,505.50 is: 1,710,180.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,465.50 : 1,101,505.50 = 1,101,505.50 : x
  2. Step 2: Convert to fraction form
    709,465.50/1,101,505.50 = 1,101,505.50/x
  3. Step 3: Cross multiply
    709,465.50x = 1,101,505.50 × 1,101,505.50
  4. Step 4: Simplify right side
    709,465.50x = 1,213,314,366,530.25
  5. Step 5: Solve for x
    x = 1,213,314,366,530.25/709,465.50
  6. Step 6: Final answer
    x = 1,710,180.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.