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Finding the Third Proportional to 497,375,957,128 and 764,030,318,475

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Solution

The third proportional to 497,375,957,128 and 764,030,318,475 is: 1,173,644,039,651.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,375,957,128 : 764,030,318,475 = 764,030,318,475 : x
  2. Step 2: Convert to fraction form
    497,375,957,128/764,030,318,475 = 764,030,318,475/x
  3. Step 3: Cross multiply
    497,375,957,128x = 764,030,318,475 × 764,030,318,475
  4. Step 4: Simplify right side
    497,375,957,128x = 583,742,327,549,009,902,698,496
  5. Step 5: Solve for x
    x = 583,742,327,549,009,902,698,496/497,375,957,128
  6. Step 6: Final answer
    x = 1,173,644,039,651.04

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