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Finding the Third Proportional to 680,884,299 and 1,078,328,416.50

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Solution

The third proportional to 680,884,299 and 1,078,328,416.50 is: 1,707,767,642.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,884,299 : 1,078,328,416.50 = 1,078,328,416.50 : x
  2. Step 2: Convert to fraction form
    680,884,299/1,078,328,416.50 = 1,078,328,416.50/x
  3. Step 3: Cross multiply
    680,884,299x = 1,078,328,416.50 × 1,078,328,416.50
  4. Step 4: Simplify right side
    680,884,299x = 1,162,792,173,831,397,376
  5. Step 5: Solve for x
    x = 1,162,792,173,831,397,376/680,884,299
  6. Step 6: Final answer
    x = 1,707,767,642.08

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.