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Finding the Third Proportional to 216,553,184 and 355,495,920

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Solution

The third proportional to 216,553,184 and 355,495,920 is: 583,585,735.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,553,184 : 355,495,920 = 355,495,920 : x
  2. Step 2: Convert to fraction form
    216,553,184/355,495,920 = 355,495,920/x
  3. Step 3: Cross multiply
    216,553,184x = 355,495,920 × 355,495,920
  4. Step 4: Simplify right side
    216,553,184x = 126,377,349,136,646,400
  5. Step 5: Solve for x
    x = 126,377,349,136,646,400/216,553,184
  6. Step 6: Final answer
    x = 583,585,735.39

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.