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Finding the Third Proportional to 259,281 and 623,902.50

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Solution

The third proportional to 259,281 and 623,902.50 is: 1,501,283.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,281 : 623,902.50 = 623,902.50 : x
  2. Step 2: Convert to fraction form
    259,281/623,902.50 = 623,902.50/x
  3. Step 3: Cross multiply
    259,281x = 623,902.50 × 623,902.50
  4. Step 4: Simplify right side
    259,281x = 389,254,329,506.25
  5. Step 5: Solve for x
    x = 389,254,329,506.25/259,281
  6. Step 6: Final answer
    x = 1,501,283.66

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.