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Finding the Third Proportional to 1,030,605 and 1,355,239.50

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Solution

The third proportional to 1,030,605 and 1,355,239.50 is: 1,782,131.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030,605 : 1,355,239.50 = 1,355,239.50 : x
  2. Step 2: Convert to fraction form
    1,030,605/1,355,239.50 = 1,355,239.50/x
  3. Step 3: Cross multiply
    1,030,605x = 1,355,239.50 × 1,355,239.50
  4. Step 4: Simplify right side
    1,030,605x = 1,836,674,102,360.25
  5. Step 5: Solve for x
    x = 1,836,674,102,360.25/1,030,605
  6. Step 6: Final answer
    x = 1,782,131.95

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Why These Related Problems?

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