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Finding the Third Proportional to 435,350,952 and 947,226,456

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Solution

The third proportional to 435,350,952 and 947,226,456 is: 2,060,953,248.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,350,952 : 947,226,456 = 947,226,456 : x
  2. Step 2: Convert to fraction form
    435,350,952/947,226,456 = 947,226,456/x
  3. Step 3: Cross multiply
    435,350,952x = 947,226,456 × 947,226,456
  4. Step 4: Simplify right side
    435,350,952x = 897,237,958,946,319,872
  5. Step 5: Solve for x
    x = 897,237,958,946,319,872/435,350,952
  6. Step 6: Final answer
    x = 2,060,953,248.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.