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Finding the Third Proportional to 369,124.59 and 578,290.64

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Solution

The third proportional to 369,124.59 and 578,290.64 is: 905,981.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,124.59 : 578,290.64 = 578,290.64 : x
  2. Step 2: Convert to fraction form
    369,124.59/578,290.64 = 578,290.64/x
  3. Step 3: Cross multiply
    369,124.59x = 578,290.64 × 578,290.64
  4. Step 4: Simplify right side
    369,124.59x = 334,420,065,034.47
  5. Step 5: Solve for x
    x = 334,420,065,034.47/369,124.59
  6. Step 6: Final answer
    x = 905,981.53

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.