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Finding the Third Proportional to 153,212.63 and 253,207.69

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Solution

The third proportional to 153,212.63 and 253,207.69 is: 418,465.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,212.63 : 253,207.69 = 253,207.69 : x
  2. Step 2: Convert to fraction form
    153,212.63/253,207.69 = 253,207.69/x
  3. Step 3: Cross multiply
    153,212.63x = 253,207.69 × 253,207.69
  4. Step 4: Simplify right side
    153,212.63x = 64,114,133,009.10
  5. Step 5: Solve for x
    x = 64,114,133,009.10/153,212.63
  6. Step 6: Final answer
    x = 418,465.08

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.