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Finding the Third Proportional to 142,465.50 and 225,590.63

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Solution

The third proportional to 142,465.50 and 225,590.63 is: 357,217.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,465.50 : 225,590.63 = 225,590.63 : x
  2. Step 2: Convert to fraction form
    142,465.50/225,590.63 = 225,590.63/x
  3. Step 3: Cross multiply
    142,465.50x = 225,590.63 × 225,590.63
  4. Step 4: Simplify right side
    142,465.50x = 50,891,130,087.89
  5. Step 5: Solve for x
    x = 50,891,130,087.89/142,465.50
  6. Step 6: Final answer
    x = 357,217.22

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.