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Finding the Third Proportional to 301,343.63 and 455,905.13

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Solution

The third proportional to 301,343.63 and 455,905.13 is: 689,742.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,343.63 : 455,905.13 = 455,905.13 : x
  2. Step 2: Convert to fraction form
    301,343.63/455,905.13 = 455,905.13/x
  3. Step 3: Cross multiply
    301,343.63x = 455,905.13 × 455,905.13
  4. Step 4: Simplify right side
    301,343.63x = 207,849,483,001.27
  5. Step 5: Solve for x
    x = 207,849,483,001.27/301,343.63
  6. Step 6: Final answer
    x = 689,742.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.