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Finding the Third Proportional to 328,814,389 and 715,513,355.50

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Solution

The third proportional to 328,814,389 and 715,513,355.50 is: 1,556,985,883.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,814,389 : 715,513,355.50 = 715,513,355.50 : x
  2. Step 2: Convert to fraction form
    328,814,389/715,513,355.50 = 715,513,355.50/x
  3. Step 3: Cross multiply
    328,814,389x = 715,513,355.50 × 715,513,355.50
  4. Step 4: Simplify right side
    328,814,389x = 511,959,361,898,869,376
  5. Step 5: Solve for x
    x = 511,959,361,898,869,376/328,814,389
  6. Step 6: Final answer
    x = 1,556,985,883.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.