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Finding the Third Proportional to 808,618,127 and 1,242,136,368.75

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Solution

The third proportional to 808,618,127 and 1,242,136,368.75 is: 1,908,073,424.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,618,127 : 1,242,136,368.75 = 1,242,136,368.75 : x
  2. Step 2: Convert to fraction form
    808,618,127/1,242,136,368.75 = 1,242,136,368.75/x
  3. Step 3: Cross multiply
    808,618,127x = 1,242,136,368.75 × 1,242,136,368.75
  4. Step 4: Simplify right side
    808,618,127x = 1,542,902,758,571,436,032
  5. Step 5: Solve for x
    x = 1,542,902,758,571,436,032/808,618,127
  6. Step 6: Final answer
    x = 1,908,073,424.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.