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Finding the Third Proportional to 20,420,448 and 31,615,328

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Solution

The third proportional to 20,420,448 and 31,615,328 is: 48,947,455.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,420,448 : 31,615,328 = 31,615,328 : x
  2. Step 2: Convert to fraction form
    20,420,448/31,615,328 = 31,615,328/x
  3. Step 3: Cross multiply
    20,420,448x = 31,615,328 × 31,615,328
  4. Step 4: Simplify right side
    20,420,448x = 999,528,964,547,584
  5. Step 5: Solve for x
    x = 999,528,964,547,584/20,420,448
  6. Step 6: Final answer
    x = 48,947,455.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.