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Finding the Third Proportional to 507,368 and 780,126

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Solution

The third proportional to 507,368 and 780,126 is: 1,199,517.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,368 : 780,126 = 780,126 : x
  2. Step 2: Convert to fraction form
    507,368/780,126 = 780,126/x
  3. Step 3: Cross multiply
    507,368x = 780,126 × 780,126
  4. Step 4: Simplify right side
    507,368x = 608,596,575,876
  5. Step 5: Solve for x
    x = 608,596,575,876/507,368
  6. Step 6: Final answer
    x = 1,199,517.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.