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Finding the Third Proportional to 12,615,440 and 19,767,128

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Solution

The third proportional to 12,615,440 and 19,767,128 is: 30,973,105.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,615,440 : 19,767,128 = 19,767,128 : x
  2. Step 2: Convert to fraction form
    12,615,440/19,767,128 = 19,767,128/x
  3. Step 3: Cross multiply
    12,615,440x = 19,767,128 × 19,767,128
  4. Step 4: Simplify right side
    12,615,440x = 390,739,349,368,384
  5. Step 5: Solve for x
    x = 390,739,349,368,384/12,615,440
  6. Step 6: Final answer
    x = 30,973,105.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.