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Finding the Third Proportional to 612,817,396 and 917,054,861

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Solution

The third proportional to 612,817,396 and 917,054,861 is: 1,372,333,134.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,817,396 : 917,054,861 = 917,054,861 : x
  2. Step 2: Convert to fraction form
    612,817,396/917,054,861 = 917,054,861/x
  3. Step 3: Cross multiply
    612,817,396x = 917,054,861 × 917,054,861
  4. Step 4: Simplify right side
    612,817,396x = 840,989,618,083,729,280
  5. Step 5: Solve for x
    x = 840,989,618,083,729,280/612,817,396
  6. Step 6: Final answer
    x = 1,372,333,134.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.