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Finding the Third Proportional to 918,600 and 1,306,457

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Solution

The third proportional to 918,600 and 1,306,457 is: 1,858,077.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    918,600 : 1,306,457 = 1,306,457 : x
  2. Step 2: Convert to fraction form
    918,600/1,306,457 = 1,306,457/x
  3. Step 3: Cross multiply
    918,600x = 1,306,457 × 1,306,457
  4. Step 4: Simplify right side
    918,600x = 1,706,829,892,849
  5. Step 5: Solve for x
    x = 1,706,829,892,849/918,600
  6. Step 6: Final answer
    x = 1,858,077.39

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.