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Finding the Third Proportional to 328,011.19 and 535,612.78

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Solution

The third proportional to 328,011.19 and 535,612.78 is: 874,607.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,011.19 : 535,612.78 = 535,612.78 : x
  2. Step 2: Convert to fraction form
    328,011.19/535,612.78 = 535,612.78/x
  3. Step 3: Cross multiply
    328,011.19x = 535,612.78 × 535,612.78
  4. Step 4: Simplify right side
    328,011.19x = 286,881,051,438.36
  5. Step 5: Solve for x
    x = 286,881,051,438.36/328,011.19
  6. Step 6: Final answer
    x = 874,607.52

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.