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Finding the Third Proportional to 291,645,684 and 688,457,538

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Solution

The third proportional to 291,645,684 and 688,457,538 is: 1,625,169,881.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,645,684 : 688,457,538 = 688,457,538 : x
  2. Step 2: Convert to fraction form
    291,645,684/688,457,538 = 688,457,538/x
  3. Step 3: Cross multiply
    291,645,684x = 688,457,538 × 688,457,538
  4. Step 4: Simplify right side
    291,645,684x = 473,973,781,629,021,440
  5. Step 5: Solve for x
    x = 473,973,781,629,021,440/291,645,684
  6. Step 6: Final answer
    x = 1,625,169,881.24

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.