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Finding the Third Proportional to 644,925,128 and 1,316,919,780

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Solution

The third proportional to 644,925,128 and 1,316,919,780 is: 2,689,114,800.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,925,128 : 1,316,919,780 = 1,316,919,780 : x
  2. Step 2: Convert to fraction form
    644,925,128/1,316,919,780 = 1,316,919,780/x
  3. Step 3: Cross multiply
    644,925,128x = 1,316,919,780 × 1,316,919,780
  4. Step 4: Simplify right side
    644,925,128x = 1,734,277,706,955,248,384
  5. Step 5: Solve for x
    x = 1,734,277,706,955,248,384/644,925,128
  6. Step 6: Final answer
    x = 2,689,114,800.56

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.