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Finding the Third Proportional to 245,574 and 379,209

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Solution

The third proportional to 245,574 and 379,209 is: 585,564.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,574 : 379,209 = 379,209 : x
  2. Step 2: Convert to fraction form
    245,574/379,209 = 379,209/x
  3. Step 3: Cross multiply
    245,574x = 379,209 × 379,209
  4. Step 4: Simplify right side
    245,574x = 143,799,465,681
  5. Step 5: Solve for x
    x = 143,799,465,681/245,574
  6. Step 6: Final answer
    x = 585,564.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.