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Finding the Third Proportional to 343,618.50 and 710,808

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Solution

The third proportional to 343,618.50 and 710,808 is: 1,470,374.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,618.50 : 710,808 = 710,808 : x
  2. Step 2: Convert to fraction form
    343,618.50/710,808 = 710,808/x
  3. Step 3: Cross multiply
    343,618.50x = 710,808 × 710,808
  4. Step 4: Simplify right side
    343,618.50x = 505,248,012,864
  5. Step 5: Solve for x
    x = 505,248,012,864/343,618.50
  6. Step 6: Final answer
    x = 1,470,374.89

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.