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Finding the Third Proportional to 389,527 and 586,854

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Solution

The third proportional to 389,527 and 586,854 is: 884,143.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,527 : 586,854 = 586,854 : x
  2. Step 2: Convert to fraction form
    389,527/586,854 = 586,854/x
  3. Step 3: Cross multiply
    389,527x = 586,854 × 586,854
  4. Step 4: Simplify right side
    389,527x = 344,397,617,316
  5. Step 5: Solve for x
    x = 344,397,617,316/389,527
  6. Step 6: Final answer
    x = 884,143.12

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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.