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Finding the Third Proportional to 507,376 and 780,138

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Solution

The third proportional to 507,376 and 780,138 is: 1,199,535.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,376 : 780,138 = 780,138 : x
  2. Step 2: Convert to fraction form
    507,376/780,138 = 780,138/x
  3. Step 3: Cross multiply
    507,376x = 780,138 × 780,138
  4. Step 4: Simplify right side
    507,376x = 608,615,299,044
  5. Step 5: Solve for x
    x = 608,615,299,044/507,376
  6. Step 6: Final answer
    x = 1,199,535.06

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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.