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Finding the Third Proportional to 285,792.47 and 438,570.28

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Solution

The third proportional to 285,792.47 and 438,570.28 is: 673,019.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,792.47 : 438,570.28 = 438,570.28 : x
  2. Step 2: Convert to fraction form
    285,792.47/438,570.28 = 438,570.28/x
  3. Step 3: Cross multiply
    285,792.47x = 438,570.28 × 438,570.28
  4. Step 4: Simplify right side
    285,792.47x = 192,343,891,595.70
  5. Step 5: Solve for x
    x = 192,343,891,595.70/285,792.47
  6. Step 6: Final answer
    x = 673,019.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.