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Finding the Third Proportional to 514,037,034.75 and 783,108,110.25

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Solution

The third proportional to 514,037,034.75 and 783,108,110.25 is: 1,193,023,597.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,037,034.75 : 783,108,110.25 = 783,108,110.25 : x
  2. Step 2: Convert to fraction form
    514,037,034.75/783,108,110.25 = 783,108,110.25/x
  3. Step 3: Cross multiply
    514,037,034.75x = 783,108,110.25 × 783,108,110.25
  4. Step 4: Simplify right side
    514,037,034.75x = 613,258,312,339,326,208
  5. Step 5: Solve for x
    x = 613,258,312,339,326,208/514,037,034.75
  6. Step 6: Final answer
    x = 1,193,023,597.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.