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Finding the Third Proportional to 390,565.50 and 592,408.50

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Solution

The third proportional to 390,565.50 and 592,408.50 is: 898,563.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,565.50 : 592,408.50 = 592,408.50 : x
  2. Step 2: Convert to fraction form
    390,565.50/592,408.50 = 592,408.50/x
  3. Step 3: Cross multiply
    390,565.50x = 592,408.50 × 592,408.50
  4. Step 4: Simplify right side
    390,565.50x = 350,947,830,872.25
  5. Step 5: Solve for x
    x = 350,947,830,872.25/390,565.50
  6. Step 6: Final answer
    x = 898,563.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.