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Finding the Third Proportional to 720,945,371 and 1,480,110,207.50

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Solution

The third proportional to 720,945,371 and 1,480,110,207.50 is: 3,038,685,473.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,945,371 : 1,480,110,207.50 = 1,480,110,207.50 : x
  2. Step 2: Convert to fraction form
    720,945,371/1,480,110,207.50 = 1,480,110,207.50/x
  3. Step 3: Cross multiply
    720,945,371x = 1,480,110,207.50 × 1,480,110,207.50
  4. Step 4: Simplify right side
    720,945,371x = 2,190,726,226,345,693,184
  5. Step 5: Solve for x
    x = 2,190,726,226,345,693,184/720,945,371
  6. Step 6: Final answer
    x = 3,038,685,473.92

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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.