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Finding the Third Proportional to 390,210 and 583,651

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Solution

The third proportional to 390,210 and 583,651 is: 872,987.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,210 : 583,651 = 583,651 : x
  2. Step 2: Convert to fraction form
    390,210/583,651 = 583,651/x
  3. Step 3: Cross multiply
    390,210x = 583,651 × 583,651
  4. Step 4: Simplify right side
    390,210x = 340,648,489,801
  5. Step 5: Solve for x
    x = 340,648,489,801/390,210
  6. Step 6: Final answer
    x = 872,987.60

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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.