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Finding the Third Proportional to 129,375,871 and 280,580,733

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Solution

The third proportional to 129,375,871 and 280,580,733 is: 608,502,552.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,375,871 : 280,580,733 = 280,580,733 : x
  2. Step 2: Convert to fraction form
    129,375,871/280,580,733 = 280,580,733/x
  3. Step 3: Cross multiply
    129,375,871x = 280,580,733 × 280,580,733
  4. Step 4: Simplify right side
    129,375,871x = 78,725,547,730,817,296
  5. Step 5: Solve for x
    x = 78,725,547,730,817,296/129,375,871
  6. Step 6: Final answer
    x = 608,502,552.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.