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Finding the Third Proportional to 314,828,445 and 691,639,386

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Solution

The third proportional to 314,828,445 and 691,639,386 is: 1,519,446,695.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,828,445 : 691,639,386 = 691,639,386 : x
  2. Step 2: Convert to fraction form
    314,828,445/691,639,386 = 691,639,386/x
  3. Step 3: Cross multiply
    314,828,445x = 691,639,386 × 691,639,386
  4. Step 4: Simplify right side
    314,828,445x = 478,365,040,266,457,024
  5. Step 5: Solve for x
    x = 478,365,040,266,457,024/314,828,445
  6. Step 6: Final answer
    x = 1,519,446,695.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.