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Finding the Third Proportional to 20,840,784 and 31,478,952

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Solution

The third proportional to 20,840,784 and 31,478,952 is: 47,547,367.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,840,784 : 31,478,952 = 31,478,952 : x
  2. Step 2: Convert to fraction form
    20,840,784/31,478,952 = 31,478,952/x
  3. Step 3: Cross multiply
    20,840,784x = 31,478,952 × 31,478,952
  4. Step 4: Simplify right side
    20,840,784x = 990,924,419,018,304
  5. Step 5: Solve for x
    x = 990,924,419,018,304/20,840,784
  6. Step 6: Final answer
    x = 47,547,367.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.