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Finding the Third Proportional to 145,989 and 310,797

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Solution

The third proportional to 145,989 and 310,797 is: 661,657.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,989 : 310,797 = 310,797 : x
  2. Step 2: Convert to fraction form
    145,989/310,797 = 310,797/x
  3. Step 3: Cross multiply
    145,989x = 310,797 × 310,797
  4. Step 4: Simplify right side
    145,989x = 96,594,775,209
  5. Step 5: Solve for x
    x = 96,594,775,209/145,989
  6. Step 6: Final answer
    x = 661,657.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.