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Finding the Third Proportional to 245,952 and 391,488

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Solution

The third proportional to 245,952 and 391,488 is: 623,141.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,952 : 391,488 = 391,488 : x
  2. Step 2: Convert to fraction form
    245,952/391,488 = 391,488/x
  3. Step 3: Cross multiply
    245,952x = 391,488 × 391,488
  4. Step 4: Simplify right side
    245,952x = 153,262,854,144
  5. Step 5: Solve for x
    x = 153,262,854,144/245,952
  6. Step 6: Final answer
    x = 623,141.32

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.