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Finding the Third Proportional to 328,615,272 and 469,890,180

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Solution

The third proportional to 328,615,272 and 469,890,180 is: 671,900,547.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,615,272 : 469,890,180 = 469,890,180 : x
  2. Step 2: Convert to fraction form
    328,615,272/469,890,180 = 469,890,180/x
  3. Step 3: Cross multiply
    328,615,272x = 469,890,180 × 469,890,180
  4. Step 4: Simplify right side
    328,615,272x = 220,796,781,260,432,384
  5. Step 5: Solve for x
    x = 220,796,781,260,432,384/328,615,272
  6. Step 6: Final answer
    x = 671,900,547.76

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.