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Finding the Third Proportional to 312,640,965 and 459,867,618

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Solution

The third proportional to 312,640,965 and 459,867,618 is: 676,425,196.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,640,965 : 459,867,618 = 459,867,618 : x
  2. Step 2: Convert to fraction form
    312,640,965/459,867,618 = 459,867,618/x
  3. Step 3: Cross multiply
    312,640,965x = 459,867,618 × 459,867,618
  4. Step 4: Simplify right side
    312,640,965x = 211,478,226,084,993,920
  5. Step 5: Solve for x
    x = 211,478,226,084,993,920/312,640,965
  6. Step 6: Final answer
    x = 676,425,196.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.