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Finding the Third Proportional to 342,970 and 738,618

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Solution

The third proportional to 342,970 and 738,618 is: 1,590,683.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,970 : 738,618 = 738,618 : x
  2. Step 2: Convert to fraction form
    342,970/738,618 = 738,618/x
  3. Step 3: Cross multiply
    342,970x = 738,618 × 738,618
  4. Step 4: Simplify right side
    342,970x = 545,556,549,924
  5. Step 5: Solve for x
    x = 545,556,549,924/342,970
  6. Step 6: Final answer
    x = 1,590,683.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.