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Finding the Third Proportional to 445,862,616 and 688,674,276

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Solution

The third proportional to 445,862,616 and 688,674,276 is: 1,063,718,377.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,862,616 : 688,674,276 = 688,674,276 : x
  2. Step 2: Convert to fraction form
    445,862,616/688,674,276 = 688,674,276/x
  3. Step 3: Cross multiply
    445,862,616x = 688,674,276 × 688,674,276
  4. Step 4: Simplify right side
    445,862,616x = 474,272,258,424,124,160
  5. Step 5: Solve for x
    x = 474,272,258,424,124,160/445,862,616
  6. Step 6: Final answer
    x = 1,063,718,377.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.