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Finding the Third Proportional to 657,369 and 1,381,140

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Solution

The third proportional to 657,369 and 1,381,140 is: 2,901,791.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,369 : 1,381,140 = 1,381,140 : x
  2. Step 2: Convert to fraction form
    657,369/1,381,140 = 1,381,140/x
  3. Step 3: Cross multiply
    657,369x = 1,381,140 × 1,381,140
  4. Step 4: Simplify right side
    657,369x = 1,907,547,699,600
  5. Step 5: Solve for x
    x = 1,907,547,699,600/657,369
  6. Step 6: Final answer
    x = 2,901,791.38

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.