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Finding the Third Proportional to 31,988,640 and 70,352,304

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Solution

The third proportional to 31,988,640 and 70,352,304 is: 154,725,136.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,988,640 : 70,352,304 = 70,352,304 : x
  2. Step 2: Convert to fraction form
    31,988,640/70,352,304 = 70,352,304/x
  3. Step 3: Cross multiply
    31,988,640x = 70,352,304 × 70,352,304
  4. Step 4: Simplify right side
    31,988,640x = 4,949,446,678,108,416
  5. Step 5: Solve for x
    x = 4,949,446,678,108,416/31,988,640
  6. Step 6: Final answer
    x = 154,725,136.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.