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Finding the Third Proportional to 1,089,532,890 and 1,528,830,329

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Solution

The third proportional to 1,089,532,890 and 1,528,830,329 is: 2,145,251,599.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089,532,890 : 1,528,830,329 = 1,528,830,329 : x
  2. Step 2: Convert to fraction form
    1,089,532,890/1,528,830,329 = 1,528,830,329/x
  3. Step 3: Cross multiply
    1,089,532,890x = 1,528,830,329 × 1,528,830,329
  4. Step 4: Simplify right side
    1,089,532,890x = 2,337,322,174,870,248,448
  5. Step 5: Solve for x
    x = 2,337,322,174,870,248,448/1,089,532,890
  6. Step 6: Final answer
    x = 2,145,251,599.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.