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Finding the Third Proportional to 164,047,469 and 387,249,516

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Solution

The third proportional to 164,047,469 and 387,249,516 is: 914,138,990.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,047,469 : 387,249,516 = 387,249,516 : x
  2. Step 2: Convert to fraction form
    164,047,469/387,249,516 = 387,249,516/x
  3. Step 3: Cross multiply
    164,047,469x = 387,249,516 × 387,249,516
  4. Step 4: Simplify right side
    164,047,469x = 149,962,187,642,234,240
  5. Step 5: Solve for x
    x = 149,962,187,642,234,240/164,047,469
  6. Step 6: Final answer
    x = 914,138,990.11

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.