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Finding the Third Proportional to 456,618 and 727,210

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Solution

The third proportional to 456,618 and 727,210 is: 1,158,154.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,618 : 727,210 = 727,210 : x
  2. Step 2: Convert to fraction form
    456,618/727,210 = 727,210/x
  3. Step 3: Cross multiply
    456,618x = 727,210 × 727,210
  4. Step 4: Simplify right side
    456,618x = 528,834,384,100
  5. Step 5: Solve for x
    x = 528,834,384,100/456,618
  6. Step 6: Final answer
    x = 1,158,154.92

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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.