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Finding the Third Proportional to 315,650,740 and 691,643,240

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Solution

The third proportional to 315,650,740 and 691,643,240 is: 1,515,505,306.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,650,740 : 691,643,240 = 691,643,240 : x
  2. Step 2: Convert to fraction form
    315,650,740/691,643,240 = 691,643,240/x
  3. Step 3: Cross multiply
    315,650,740x = 691,643,240 × 691,643,240
  4. Step 4: Simplify right side
    315,650,740x = 478,370,371,437,697,600
  5. Step 5: Solve for x
    x = 478,370,371,437,697,600/315,650,740
  6. Step 6: Final answer
    x = 1,515,505,306.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.