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Finding the Third Proportional to 42,262,457,388 and 92,118,671,946

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Solution

The third proportional to 42,262,457,388 and 92,118,671,946 is: 200,789,311,496.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,262,457,388 : 92,118,671,946 = 92,118,671,946 : x
  2. Step 2: Convert to fraction form
    42,262,457,388/92,118,671,946 = 92,118,671,946/x
  3. Step 3: Cross multiply
    42,262,457,388x = 92,118,671,946 × 92,118,671,946
  4. Step 4: Simplify right side
    42,262,457,388x = 8,485,849,721,094,767,902,720
  5. Step 5: Solve for x
    x = 8,485,849,721,094,767,902,720/42,262,457,388
  6. Step 6: Final answer
    x = 200,789,311,496.69

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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.