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Finding the Third Proportional to 402,139.13 and 589,676.63

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Solution

The third proportional to 402,139.13 and 589,676.63 is: 864,672.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,139.13 : 589,676.63 = 589,676.63 : x
  2. Step 2: Convert to fraction form
    402,139.13/589,676.63 = 589,676.63/x
  3. Step 3: Cross multiply
    402,139.13x = 589,676.63 × 589,676.63
  4. Step 4: Simplify right side
    402,139.13x = 347,718,522,071.39
  5. Step 5: Solve for x
    x = 347,718,522,071.39/402,139.13
  6. Step 6: Final answer
    x = 864,672.20

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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.