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Finding the Third Proportional to 390,561.47 and 608,677.03

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Solution

The third proportional to 390,561.47 and 608,677.03 is: 948,602.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,561.47 : 608,677.03 = 608,677.03 : x
  2. Step 2: Convert to fraction form
    390,561.47/608,677.03 = 608,677.03/x
  3. Step 3: Cross multiply
    390,561.47x = 608,677.03 × 608,677.03
  4. Step 4: Simplify right side
    390,561.47x = 370,487,728,371.31
  5. Step 5: Solve for x
    x = 370,487,728,371.31/390,561.47
  6. Step 6: Final answer
    x = 948,602.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.