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Finding the Third Proportional to 342,159.19 and 510,436.69

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Solution

The third proportional to 342,159.19 and 510,436.69 is: 761,474.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,159.19 : 510,436.69 = 510,436.69 : x
  2. Step 2: Convert to fraction form
    342,159.19/510,436.69 = 510,436.69/x
  3. Step 3: Cross multiply
    342,159.19x = 510,436.69 × 510,436.69
  4. Step 4: Simplify right side
    342,159.19x = 260,545,611,945.97
  5. Step 5: Solve for x
    x = 260,545,611,945.97/342,159.19
  6. Step 6: Final answer
    x = 761,474.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.