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Finding the Third Proportional to 613,060 and 910,840

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Solution

The third proportional to 613,060 and 910,840 is: 1,353,259.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,060 : 910,840 = 910,840 : x
  2. Step 2: Convert to fraction form
    613,060/910,840 = 910,840/x
  3. Step 3: Cross multiply
    613,060x = 910,840 × 910,840
  4. Step 4: Simplify right side
    613,060x = 829,629,505,600
  5. Step 5: Solve for x
    x = 829,629,505,600/613,060
  6. Step 6: Final answer
    x = 1,353,259.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.