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Finding the Third Proportional to 397,122,075 and 612,431,154

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Solution

The third proportional to 397,122,075 and 612,431,154 is: 944,475,117.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,122,075 : 612,431,154 = 612,431,154 : x
  2. Step 2: Convert to fraction form
    397,122,075/612,431,154 = 612,431,154/x
  3. Step 3: Cross multiply
    397,122,075x = 612,431,154 × 612,431,154
  4. Step 4: Simplify right side
    397,122,075x = 375,071,918,389,771,712
  5. Step 5: Solve for x
    x = 375,071,918,389,771,712/397,122,075
  6. Step 6: Final answer
    x = 944,475,117.35

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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.