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Finding the Third Proportional to 442,330,487.81 and 686,802,407.63

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Solution

The third proportional to 442,330,487.81 and 686,802,407.63 is: 1,066,391,668.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,330,487.81 : 686,802,407.63 = 686,802,407.63 : x
  2. Step 2: Convert to fraction form
    442,330,487.81/686,802,407.63 = 686,802,407.63/x
  3. Step 3: Cross multiply
    442,330,487.81x = 686,802,407.63 × 686,802,407.63
  4. Step 4: Simplify right side
    442,330,487.81x = 471,697,547,119,496,640
  5. Step 5: Solve for x
    x = 471,697,547,119,496,640/442,330,487.81
  6. Step 6: Final answer
    x = 1,066,391,668.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.