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Finding the Third Proportional to 456,615 and 727,209

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Solution

The third proportional to 456,615 and 727,209 is: 1,158,159.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,615 : 727,209 = 727,209 : x
  2. Step 2: Convert to fraction form
    456,615/727,209 = 727,209/x
  3. Step 3: Cross multiply
    456,615x = 727,209 × 727,209
  4. Step 4: Simplify right side
    456,615x = 528,832,929,681
  5. Step 5: Solve for x
    x = 528,832,929,681/456,615
  6. Step 6: Final answer
    x = 1,158,159.35

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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.