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Finding the Third Proportional to 285,565.50 and 634,959

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Solution

The third proportional to 285,565.50 and 634,959 is: 1,411,840.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,565.50 : 634,959 = 634,959 : x
  2. Step 2: Convert to fraction form
    285,565.50/634,959 = 634,959/x
  3. Step 3: Cross multiply
    285,565.50x = 634,959 × 634,959
  4. Step 4: Simplify right side
    285,565.50x = 403,172,931,681
  5. Step 5: Solve for x
    x = 403,172,931,681/285,565.50
  6. Step 6: Final answer
    x = 1,411,840.48

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.