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Finding the Third Proportional to 1,218,457,746 and 1,856,255,643

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Solution

The third proportional to 1,218,457,746 and 1,856,255,643 is: 2,827,906,854.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218,457,746 : 1,856,255,643 = 1,856,255,643 : x
  2. Step 2: Convert to fraction form
    1,218,457,746/1,856,255,643 = 1,856,255,643/x
  3. Step 3: Cross multiply
    1,218,457,746x = 1,856,255,643 × 1,856,255,643
  4. Step 4: Simplify right side
    1,218,457,746x = 3,445,685,012,169,343,488
  5. Step 5: Solve for x
    x = 3,445,685,012,169,343,488/1,218,457,746
  6. Step 6: Final answer
    x = 2,827,906,854.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.