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Finding the Third Proportional to 390,957.33 and 849,158.77

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Solution

The third proportional to 390,957.33 and 849,158.77 is: 1,844,371.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,957.33 : 849,158.77 = 849,158.77 : x
  2. Step 2: Convert to fraction form
    390,957.33/849,158.77 = 849,158.77/x
  3. Step 3: Cross multiply
    390,957.33x = 849,158.77 × 849,158.77
  4. Step 4: Simplify right side
    390,957.33x = 721,070,609,237.77
  5. Step 5: Solve for x
    x = 721,070,609,237.77/390,957.33
  6. Step 6: Final answer
    x = 1,844,371.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.