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Finding the Third Proportional to 687,970 and 1,459,196

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Solution

The third proportional to 687,970 and 1,459,196 is: 3,094,979.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,970 : 1,459,196 = 1,459,196 : x
  2. Step 2: Convert to fraction form
    687,970/1,459,196 = 1,459,196/x
  3. Step 3: Cross multiply
    687,970x = 1,459,196 × 1,459,196
  4. Step 4: Simplify right side
    687,970x = 2,129,252,966,416
  5. Step 5: Solve for x
    x = 2,129,252,966,416/687,970
  6. Step 6: Final answer
    x = 3,094,979.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.