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Finding the Third Proportional to 125,345,141.50 and 274,904,063.50

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Solution

The third proportional to 125,345,141.50 and 274,904,063.50 is: 602,913,230.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,345,141.50 : 274,904,063.50 = 274,904,063.50 : x
  2. Step 2: Convert to fraction form
    125,345,141.50/274,904,063.50 = 274,904,063.50/x
  3. Step 3: Cross multiply
    125,345,141.50x = 274,904,063.50 × 274,904,063.50
  4. Step 4: Simplify right side
    125,345,141.50x = 75,572,244,128,812,032
  5. Step 5: Solve for x
    x = 75,572,244,128,812,032/125,345,141.50
  6. Step 6: Final answer
    x = 602,913,230.02

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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.