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Finding the Third Proportional to 314,090 and 687,992

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Solution

The third proportional to 314,090 and 687,992 is: 1,506,997.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,090 : 687,992 = 687,992 : x
  2. Step 2: Convert to fraction form
    314,090/687,992 = 687,992/x
  3. Step 3: Cross multiply
    314,090x = 687,992 × 687,992
  4. Step 4: Simplify right side
    314,090x = 473,332,992,064
  5. Step 5: Solve for x
    x = 473,332,992,064/314,090
  6. Step 6: Final answer
    x = 1,506,997.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.