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Finding the Third Proportional to 137,890,480 and 204,882,304

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Solution

The third proportional to 137,890,480 and 204,882,304 is: 304,421,004.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,890,480 : 204,882,304 = 204,882,304 : x
  2. Step 2: Convert to fraction form
    137,890,480/204,882,304 = 204,882,304/x
  3. Step 3: Cross multiply
    137,890,480x = 204,882,304 × 204,882,304
  4. Step 4: Simplify right side
    137,890,480x = 41,976,758,492,348,416
  5. Step 5: Solve for x
    x = 41,976,758,492,348,416/137,890,480
  6. Step 6: Final answer
    x = 304,421,004.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.