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Finding the Third Proportional to 602,283 and 880,786.50

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Solution

The third proportional to 602,283 and 880,786.50 is: 1,288,073.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,283 : 880,786.50 = 880,786.50 : x
  2. Step 2: Convert to fraction form
    602,283/880,786.50 = 880,786.50/x
  3. Step 3: Cross multiply
    602,283x = 880,786.50 × 880,786.50
  4. Step 4: Simplify right side
    602,283x = 775,784,858,582.25
  5. Step 5: Solve for x
    x = 775,784,858,582.25/602,283
  6. Step 6: Final answer
    x = 1,288,073.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.