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Finding the Third Proportional to 326,514,312 and 710,421,768

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Solution

The third proportional to 326,514,312 and 710,421,768 is: 1,545,718,119.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,514,312 : 710,421,768 = 710,421,768 : x
  2. Step 2: Convert to fraction form
    326,514,312/710,421,768 = 710,421,768/x
  3. Step 3: Cross multiply
    326,514,312x = 710,421,768 × 710,421,768
  4. Step 4: Simplify right side
    326,514,312x = 504,699,088,448,245,824
  5. Step 5: Solve for x
    x = 504,699,088,448,245,824/326,514,312
  6. Step 6: Final answer
    x = 1,545,718,119.85

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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.