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Finding the Third Proportional to 310,860 and 456,084

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Solution

The third proportional to 310,860 and 456,084 is: 669,152.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,860 : 456,084 = 456,084 : x
  2. Step 2: Convert to fraction form
    310,860/456,084 = 456,084/x
  3. Step 3: Cross multiply
    310,860x = 456,084 × 456,084
  4. Step 4: Simplify right side
    310,860x = 208,012,615,056
  5. Step 5: Solve for x
    x = 208,012,615,056/310,860
  6. Step 6: Final answer
    x = 669,152.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.