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Finding the Third Proportional to 432,357.75 and 637,358.63

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Solution

The third proportional to 432,357.75 and 637,358.63 is: 939,559.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,357.75 : 637,358.63 = 637,358.63 : x
  2. Step 2: Convert to fraction form
    432,357.75/637,358.63 = 637,358.63/x
  3. Step 3: Cross multiply
    432,357.75x = 637,358.63 × 637,358.63
  4. Step 4: Simplify right side
    432,357.75x = 406,226,016,861.89
  5. Step 5: Solve for x
    x = 406,226,016,861.89/432,357.75
  6. Step 6: Final answer
    x = 939,559.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.