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Finding the Third Proportional to 809,648,513 and 1,243,935,447

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Solution

The third proportional to 809,648,513 and 1,243,935,447 is: 1,911,169,317.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,648,513 : 1,243,935,447 = 1,243,935,447 : x
  2. Step 2: Convert to fraction form
    809,648,513/1,243,935,447 = 1,243,935,447/x
  3. Step 3: Cross multiply
    809,648,513x = 1,243,935,447 × 1,243,935,447
  4. Step 4: Simplify right side
    809,648,513x = 1,547,375,396,303,089,920
  5. Step 5: Solve for x
    x = 1,547,375,396,303,089,920/809,648,513
  6. Step 6: Final answer
    x = 1,911,169,317.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.