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Finding the Third Proportional to 285,796 and 420,428

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Solution

The third proportional to 285,796 and 420,428 is: 618,482.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,796 : 420,428 = 420,428 : x
  2. Step 2: Convert to fraction form
    285,796/420,428 = 420,428/x
  3. Step 3: Cross multiply
    285,796x = 420,428 × 420,428
  4. Step 4: Simplify right side
    285,796x = 176,759,703,184
  5. Step 5: Solve for x
    x = 176,759,703,184/285,796
  6. Step 6: Final answer
    x = 618,482.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.