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Finding the Third Proportional to 456,620 and 727,213

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Solution

The third proportional to 456,620 and 727,213 is: 1,158,159.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,620 : 727,213 = 727,213 : x
  2. Step 2: Convert to fraction form
    456,620/727,213 = 727,213/x
  3. Step 3: Cross multiply
    456,620x = 727,213 × 727,213
  4. Step 4: Simplify right side
    456,620x = 528,838,747,369
  5. Step 5: Solve for x
    x = 528,838,747,369/456,620
  6. Step 6: Final answer
    x = 1,158,159.40

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.