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Finding the Third Proportional to 510,440 and 783,506

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Solution

The third proportional to 510,440 and 783,506 is: 1,202,651.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,440 : 783,506 = 783,506 : x
  2. Step 2: Convert to fraction form
    510,440/783,506 = 783,506/x
  3. Step 3: Cross multiply
    510,440x = 783,506 × 783,506
  4. Step 4: Simplify right side
    510,440x = 613,881,652,036
  5. Step 5: Solve for x
    x = 613,881,652,036/510,440
  6. Step 6: Final answer
    x = 1,202,651.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.