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Finding the Third Proportional to 389,070 and 583,605

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Solution

The third proportional to 389,070 and 583,605 is: 875,407.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,070 : 583,605 = 583,605 : x
  2. Step 2: Convert to fraction form
    389,070/583,605 = 583,605/x
  3. Step 3: Cross multiply
    389,070x = 583,605 × 583,605
  4. Step 4: Simplify right side
    389,070x = 340,594,796,025
  5. Step 5: Solve for x
    x = 340,594,796,025/389,070
  6. Step 6: Final answer
    x = 875,407.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.