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Finding the Third Proportional to 920,640,348 and 1,971,870,840

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Solution

The third proportional to 920,640,348 and 1,971,870,840 is: 4,223,445,798.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,640,348 : 1,971,870,840 = 1,971,870,840 : x
  2. Step 2: Convert to fraction form
    920,640,348/1,971,870,840 = 1,971,870,840/x
  3. Step 3: Cross multiply
    920,640,348x = 1,971,870,840 × 1,971,870,840
  4. Step 4: Simplify right side
    920,640,348x = 3,888,274,609,642,305,536
  5. Step 5: Solve for x
    x = 3,888,274,609,642,305,536/920,640,348
  6. Step 6: Final answer
    x = 4,223,445,798.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.