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Finding the Third Proportional to 172,287,084 and 378,049,483.50

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Solution

The third proportional to 172,287,084 and 378,049,483.50 is: 829,553,839.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,287,084 : 378,049,483.50 = 378,049,483.50 : x
  2. Step 2: Convert to fraction form
    172,287,084/378,049,483.50 = 378,049,483.50/x
  3. Step 3: Cross multiply
    172,287,084x = 378,049,483.50 × 378,049,483.50
  4. Step 4: Simplify right side
    172,287,084x = 142,921,411,974,616,768
  5. Step 5: Solve for x
    x = 142,921,411,974,616,768/172,287,084
  6. Step 6: Final answer
    x = 829,553,839.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.