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Finding the Third Proportional to 305,416.83 and 651,395.67

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Solution

The third proportional to 305,416.83 and 651,395.67 is: 1,389,302.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,416.83 : 651,395.67 = 651,395.67 : x
  2. Step 2: Convert to fraction form
    305,416.83/651,395.67 = 651,395.67/x
  3. Step 3: Cross multiply
    305,416.83x = 651,395.67 × 651,395.67
  4. Step 4: Simplify right side
    305,416.83x = 424,316,321,337.48
  5. Step 5: Solve for x
    x = 424,316,321,337.48/305,416.83
  6. Step 6: Final answer
    x = 1,389,302.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.