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Finding the Third Proportional to 368,490 and 781,265.25

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Solution

The third proportional to 368,490 and 781,265.25 is: 1,656,423.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,490 : 781,265.25 = 781,265.25 : x
  2. Step 2: Convert to fraction form
    368,490/781,265.25 = 781,265.25/x
  3. Step 3: Cross multiply
    368,490x = 781,265.25 × 781,265.25
  4. Step 4: Simplify right side
    368,490x = 610,375,390,857.56
  5. Step 5: Solve for x
    x = 610,375,390,857.56/368,490
  6. Step 6: Final answer
    x = 1,656,423.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.