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Finding the Third Proportional to 377,034 and 780,312

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Solution

The third proportional to 377,034 and 780,312 is: 1,614,938.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,034 : 780,312 = 780,312 : x
  2. Step 2: Convert to fraction form
    377,034/780,312 = 780,312/x
  3. Step 3: Cross multiply
    377,034x = 780,312 × 780,312
  4. Step 4: Simplify right side
    377,034x = 608,886,817,344
  5. Step 5: Solve for x
    x = 608,886,817,344/377,034
  6. Step 6: Final answer
    x = 1,614,938.75

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.