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Finding the Third Proportional to 1,732,223,580 and 3,556,277,593.50

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Solution

The third proportional to 1,732,223,580 and 3,556,277,593.50 is: 7,301,084,264.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732,223,580 : 3,556,277,593.50 = 3,556,277,593.50 : x
  2. Step 2: Convert to fraction form
    1,732,223,580/3,556,277,593.50 = 3,556,277,593.50/x
  3. Step 3: Cross multiply
    1,732,223,580x = 3,556,277,593.50 × 3,556,277,593.50
  4. Step 4: Simplify right side
    1,732,223,580x = 12,647,110,322,030,151,680
  5. Step 5: Solve for x
    x = 12,647,110,322,030,151,680/1,732,223,580
  6. Step 6: Final answer
    x = 7,301,084,264.21

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.