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Finding the Third Proportional to 423,458,020.13 and 917,265,539.25

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Solution

The third proportional to 423,458,020.13 and 917,265,539.25 is: 1,986,917,308.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,458,020.13 : 917,265,539.25 = 917,265,539.25 : x
  2. Step 2: Convert to fraction form
    423,458,020.13/917,265,539.25 = 917,265,539.25/x
  3. Step 3: Cross multiply
    423,458,020.13x = 917,265,539.25 × 917,265,539.25
  4. Step 4: Simplify right side
    423,458,020.13x = 841,376,069,495,593,344
  5. Step 5: Solve for x
    x = 841,376,069,495,593,344/423,458,020.13
  6. Step 6: Final answer
    x = 1,986,917,308.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.