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Finding the Third Proportional to 390,288 and 588,506

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Solution

The third proportional to 390,288 and 588,506 is: 887,394.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,288 : 588,506 = 588,506 : x
  2. Step 2: Convert to fraction form
    390,288/588,506 = 588,506/x
  3. Step 3: Cross multiply
    390,288x = 588,506 × 588,506
  4. Step 4: Simplify right side
    390,288x = 346,339,312,036
  5. Step 5: Solve for x
    x = 346,339,312,036/390,288
  6. Step 6: Final answer
    x = 887,394.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.