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Finding the Third Proportional to 721,460 and 1,121,487

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Solution

The third proportional to 721,460 and 1,121,487 is: 1,743,316.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,460 : 1,121,487 = 1,121,487 : x
  2. Step 2: Convert to fraction form
    721,460/1,121,487 = 1,121,487/x
  3. Step 3: Cross multiply
    721,460x = 1,121,487 × 1,121,487
  4. Step 4: Simplify right side
    721,460x = 1,257,733,091,169
  5. Step 5: Solve for x
    x = 1,257,733,091,169/721,460
  6. Step 6: Final answer
    x = 1,743,316.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.