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Finding the Third Proportional to 103,020,238 and 224,563,509

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Solution

The third proportional to 103,020,238 and 224,563,509 is: 489,503,524.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,020,238 : 224,563,509 = 224,563,509 : x
  2. Step 2: Convert to fraction form
    103,020,238/224,563,509 = 224,563,509/x
  3. Step 3: Cross multiply
    103,020,238x = 224,563,509 × 224,563,509
  4. Step 4: Simplify right side
    103,020,238x = 50,428,769,574,393,080
  5. Step 5: Solve for x
    x = 50,428,769,574,393,080/103,020,238
  6. Step 6: Final answer
    x = 489,503,524.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.