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Finding the Third Proportional to 640,258,920 and 1,377,585,648

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Solution

The third proportional to 640,258,920 and 1,377,585,648 is: 2,964,023,082.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,258,920 : 1,377,585,648 = 1,377,585,648 : x
  2. Step 2: Convert to fraction form
    640,258,920/1,377,585,648 = 1,377,585,648/x
  3. Step 3: Cross multiply
    640,258,920x = 1,377,585,648 × 1,377,585,648
  4. Step 4: Simplify right side
    640,258,920x = 1,897,742,217,575,579,904
  5. Step 5: Solve for x
    x = 1,897,742,217,575,579,904/640,258,920
  6. Step 6: Final answer
    x = 2,964,023,082.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.