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Finding the Third Proportional to 688,837,936 and 1,063,708,209

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Solution

The third proportional to 688,837,936 and 1,063,708,209 is: 1,642,585,425.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,837,936 : 1,063,708,209 = 1,063,708,209 : x
  2. Step 2: Convert to fraction form
    688,837,936/1,063,708,209 = 1,063,708,209/x
  3. Step 3: Cross multiply
    688,837,936x = 1,063,708,209 × 1,063,708,209
  4. Step 4: Simplify right side
    688,837,936x = 1,131,475,153,893,987,712
  5. Step 5: Solve for x
    x = 1,131,475,153,893,987,712/688,837,936
  6. Step 6: Final answer
    x = 1,642,585,425.05

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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.