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Finding the Third Proportional to 21,047,946 and 31,486,095

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Solution

The third proportional to 21,047,946 and 31,486,095 is: 47,100,756.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,047,946 : 31,486,095 = 31,486,095 : x
  2. Step 2: Convert to fraction form
    21,047,946/31,486,095 = 31,486,095/x
  3. Step 3: Cross multiply
    21,047,946x = 31,486,095 × 31,486,095
  4. Step 4: Simplify right side
    21,047,946x = 991,374,178,349,025
  5. Step 5: Solve for x
    x = 991,374,178,349,025/21,047,946
  6. Step 6: Final answer
    x = 47,100,756.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.